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From simplifying to verifying to solving to the Law of Sines and Cosines you will learn all step by step

## (1) Introduction To Analytic Trigonometry

- Reference Sheet Fundamental Identites
- What are the reciprocal identities?
- What are the co-function identities?
- What are the quotient identities?
- What are the Pythagorean identities?
- What are the even odd identities?
- What is the division property for trigonometric expressions
- How to add and subtract fractions with unlike denominators
- How do you simplify a trigonometric expression?
- Examples for simplifying trigonometric expression using trigonometric identities
- Examples for simplifying trigonometric expression by factoring
- Verifying Trigonometric Identities Examples 1-24
- Examples for verifying trigonometric identities ex 1
- Examples for verifying trigonometric identities using co-function and even odd
- Examples for verifying trigonometric identities using multiple steps
- Examples for verifying trigonometric identities with rational expressions
- Essential Questions for Verifying Trigonometry Identities
- Examples for solving trigonometric equations using inverse operations
- Examples for solving trigonometric equations using inverse operations ex 2
- Examples for solving trigonometric equations using Pythagorean Identities
- Examples for solving trigonometric equations using factoring
- Examples for solving trigonometric equation with two different functions
- Examples for solving trigonometric equations with multi angles ex 1
- Examples for solving trigonometric equation with multi angles ex 2
- Examples for evaluating the double angle formulas for sine cosine and tangent 1
- Examples for evaluating the double angle formulas for sine cosine and tangent 2
- Examples for evaluating the double angle formulas using a triangle
- Examples for writing an expression as one single function using double angles
- Examples for verifying trigonometric identities using double angle formula
- Examples for solving trigonometric equations using double angle formulas
- Examples for evaluating the half angle formulas from a right triangle
- Examples for evaluating the half angle formulas given an angle
- Examples for evaluating the half angle formulas given an equation and contraint
- Examples for evaluating half angle formulas with constraints ex 3
- Evaluating the half angle formulas given and equation and constraint ex 2
- Examples for verifying trigonometric identities using half angle formulas
- Examples for evaluating the sum and different formulas for sine and cosine
- Examples for evaluating the sum and difference formulas for tangent
- Examples for verifying trigonometric identities using sum and difference formula
- Examples for solving trigonometric equations using sum and difference formulas
- Examples for solving the ambiguous case using Law of Sines SSA
- Examples for determining the ambiguous case SSA
- Examples for solving the missing parts of a triangle using Law of Sines AAS ASA
- Examples for solving the missing parts of a triangle using Law of Cosines SAS
- Examples for solving the missing parts of a triangle using Law of Cosines SSS
- Examples of Operations of vectors including dot product and magnitude
- Examples for writing the vector given the direction and magnitude
- Master Writing the vector in the same direction given the magnitude
- Examples for determining the unit vector
- Examples for determining the angle between two vectors
- Examples for determining if two vectors are orthogonal, parallel or neither
- Examples for writing the vector given the initial and terminal points
- Examples for determining the magnitude of a vector
- Sketching a vector
- Examples of operations of vectors including dot product
- Examples for adding, subtracting and multiplying vectors

## (2) The Basics for Simplifying Trigonometric Expressions

- Reference Sheet Fundamental Identites
- What are the reciprocal identities?
- What are the co-function identities?
- What are the quotient identities?
- What are the Pythagorean identities?
- What are the even odd identities?
- What is the division property for trigonometric expressions
- How to add and subtract fractions with unlike denominators
- How do you simplify a trigonometric expression?
- Examples for simplifying trigonometric expression using trigonometric identities
- Examples for simplifying trigonometric expression by factoring
- Verifying Trigonometric Identities Examples 1-24
- Examples for verifying trigonometric identities ex 1
- Examples for verifying trigonometric identities using co-function and even odd
- Examples for verifying trigonometric identities using multiple steps
- Examples for verifying trigonometric identities with rational expressions
- Essential Questions for Verifying Trigonometry Identities
- Examples for solving trigonometric equations using inverse operations
- Examples for solving trigonometric equations using inverse operations ex 2
- Examples for solving trigonometric equations using Pythagorean Identities
- Examples for solving trigonometric equations using factoring
- Examples for solving trigonometric equation with two different functions
- Examples for solving trigonometric equations with multi angles ex 1
- Examples for solving trigonometric equation with multi angles ex 2
- Examples for evaluating the double angle formulas for sine cosine and tangent 1
- Examples for evaluating the double angle formulas for sine cosine and tangent 2
- Examples for evaluating the double angle formulas using a triangle
- Examples for writing an expression as one single function using double angles
- Examples for verifying trigonometric identities using double angle formula
- Examples for solving trigonometric equations using double angle formulas
- Examples for evaluating the half angle formulas from a right triangle
- Examples for evaluating the half angle formulas given an angle
- Examples for evaluating the half angle formulas given an equation and contraint
- Examples for evaluating half angle formulas with constraints ex 3
- Evaluating the half angle formulas given and equation and constraint ex 2
- Examples for verifying trigonometric identities using half angle formulas
- Examples for evaluating the sum and different formulas for sine and cosine
- Examples for evaluating the sum and difference formulas for tangent
- Examples for verifying trigonometric identities using sum and difference formula
- Examples for solving trigonometric equations using sum and difference formulas
- Examples for solving the ambiguous case using Law of Sines SSA
- Examples for determining the ambiguous case SSA
- Examples for solving the missing parts of a triangle using Law of Sines AAS ASA
- Examples for solving the missing parts of a triangle using Law of Cosines SAS
- Examples for solving the missing parts of a triangle using Law of Cosines SSS
- Examples of Operations of vectors including dot product and magnitude
- Examples for writing the vector given the direction and magnitude
- Master Writing the vector in the same direction given the magnitude
- Examples for determining the unit vector
- Examples for determining the angle between two vectors
- Examples for determining if two vectors are orthogonal, parallel or neither
- Examples for writing the vector given the initial and terminal points
- Examples for determining the magnitude of a vector
- Sketching a vector
- Examples of operations of vectors including dot product
- Examples for adding, subtracting and multiplying vectors

## (3) Simplifying Trigonometric Expressions

- Reference Sheet Fundamental Identites
- What are the reciprocal identities?
- What are the co-function identities?
- What are the quotient identities?
- What are the Pythagorean identities?
- What are the even odd identities?
- What is the division property for trigonometric expressions
- How to add and subtract fractions with unlike denominators
- How do you simplify a trigonometric expression?
- Examples for simplifying trigonometric expression using trigonometric identities
- Examples for simplifying trigonometric expression by factoring
- Verifying Trigonometric Identities Examples 1-24
- Examples for verifying trigonometric identities ex 1
- Examples for verifying trigonometric identities using co-function and even odd
- Examples for verifying trigonometric identities using multiple steps
- Examples for verifying trigonometric identities with rational expressions
- Essential Questions for Verifying Trigonometry Identities
- Examples for solving trigonometric equations using inverse operations
- Examples for solving trigonometric equations using inverse operations ex 2
- Examples for solving trigonometric equations using Pythagorean Identities
- Examples for solving trigonometric equations using factoring
- Examples for solving trigonometric equation with two different functions
- Examples for solving trigonometric equations with multi angles ex 1
- Examples for solving trigonometric equation with multi angles ex 2
- Examples for evaluating the double angle formulas for sine cosine and tangent 1
- Examples for evaluating the double angle formulas for sine cosine and tangent 2
- Examples for evaluating the double angle formulas using a triangle
- Examples for writing an expression as one single function using double angles
- Examples for verifying trigonometric identities using double angle formula
- Examples for solving trigonometric equations using double angle formulas
- Examples for evaluating the half angle formulas from a right triangle
- Examples for evaluating the half angle formulas given an angle
- Examples for evaluating the half angle formulas given an equation and contraint
- Examples for evaluating half angle formulas with constraints ex 3
- Evaluating the half angle formulas given and equation and constraint ex 2
- Examples for verifying trigonometric identities using half angle formulas
- Examples for evaluating the sum and different formulas for sine and cosine
- Examples for evaluating the sum and difference formulas for tangent
- Examples for verifying trigonometric identities using sum and difference formula
- Examples for solving trigonometric equations using sum and difference formulas
- Examples for solving the ambiguous case using Law of Sines SSA
- Examples for determining the ambiguous case SSA
- Examples for solving the missing parts of a triangle using Law of Sines AAS ASA
- Examples for solving the missing parts of a triangle using Law of Cosines SAS
- Examples for solving the missing parts of a triangle using Law of Cosines SSS
- Examples of Operations of vectors including dot product and magnitude
- Examples for writing the vector given the direction and magnitude
- Master Writing the vector in the same direction given the magnitude
- Examples for determining the unit vector
- Examples for determining the angle between two vectors
- Examples for determining if two vectors are orthogonal, parallel or neither
- Examples for writing the vector given the initial and terminal points
- Examples for determining the magnitude of a vector
- Sketching a vector
- Examples of operations of vectors including dot product
- Examples for adding, subtracting and multiplying vectors

## (4) Verifying Trigonometric Identities

- Reference Sheet Fundamental Identites
- What are the reciprocal identities?
- What are the co-function identities?
- What are the quotient identities?
- What are the Pythagorean identities?
- What are the even odd identities?
- What is the division property for trigonometric expressions
- How to add and subtract fractions with unlike denominators
- How do you simplify a trigonometric expression?
- Examples for simplifying trigonometric expression using trigonometric identities
- Examples for simplifying trigonometric expression by factoring
- Verifying Trigonometric Identities Examples 1-24
- Examples for verifying trigonometric identities ex 1
- Examples for verifying trigonometric identities using co-function and even odd
- Examples for verifying trigonometric identities using multiple steps
- Examples for verifying trigonometric identities with rational expressions
- Essential Questions for Verifying Trigonometry Identities
- Examples for solving trigonometric equations using inverse operations
- Examples for solving trigonometric equations using inverse operations ex 2
- Examples for solving trigonometric equations using Pythagorean Identities
- Examples for solving trigonometric equations using factoring
- Examples for solving trigonometric equation with two different functions
- Examples for solving trigonometric equations with multi angles ex 1
- Examples for solving trigonometric equation with multi angles ex 2
- Examples for evaluating the double angle formulas for sine cosine and tangent 1
- Examples for evaluating the double angle formulas for sine cosine and tangent 2
- Examples for evaluating the double angle formulas using a triangle
- Examples for writing an expression as one single function using double angles
- Examples for verifying trigonometric identities using double angle formula
- Examples for solving trigonometric equations using double angle formulas
- Examples for evaluating the half angle formulas from a right triangle
- Examples for evaluating the half angle formulas given an angle
- Examples for evaluating the half angle formulas given an equation and contraint
- Examples for evaluating half angle formulas with constraints ex 3
- Evaluating the half angle formulas given and equation and constraint ex 2
- Examples for verifying trigonometric identities using half angle formulas
- Examples for evaluating the sum and different formulas for sine and cosine
- Examples for evaluating the sum and difference formulas for tangent
- Examples for verifying trigonometric identities using sum and difference formula
- Examples for solving trigonometric equations using sum and difference formulas
- Examples for solving the ambiguous case using Law of Sines SSA
- Examples for determining the ambiguous case SSA
- Examples for solving the missing parts of a triangle using Law of Sines AAS ASA
- Examples for solving the missing parts of a triangle using Law of Cosines SAS
- Examples for solving the missing parts of a triangle using Law of Cosines SSS
- Examples of Operations of vectors including dot product and magnitude
- Examples for writing the vector given the direction and magnitude
- Master Writing the vector in the same direction given the magnitude
- Examples for determining the unit vector
- Examples for determining the angle between two vectors
- Examples for determining if two vectors are orthogonal, parallel or neither
- Examples for writing the vector given the initial and terminal points
- Examples for determining the magnitude of a vector
- Sketching a vector
- Examples of operations of vectors including dot product
- Examples for adding, subtracting and multiplying vectors

## (5) Solving Trigonometric Equations

- Reference Sheet Fundamental Identites
- What are the reciprocal identities?
- What are the co-function identities?
- What are the quotient identities?
- What are the Pythagorean identities?
- What are the even odd identities?
- What is the division property for trigonometric expressions
- How to add and subtract fractions with unlike denominators
- How do you simplify a trigonometric expression?
- Examples for simplifying trigonometric expression using trigonometric identities
- Examples for simplifying trigonometric expression by factoring
- Verifying Trigonometric Identities Examples 1-24
- Examples for verifying trigonometric identities ex 1
- Examples for verifying trigonometric identities using co-function and even odd
- Examples for verifying trigonometric identities using multiple steps
- Examples for verifying trigonometric identities with rational expressions
- Essential Questions for Verifying Trigonometry Identities
- Examples for solving trigonometric equations using inverse operations
- Examples for solving trigonometric equations using inverse operations ex 2
- Examples for solving trigonometric equations using Pythagorean Identities
- Examples for solving trigonometric equations using factoring
- Examples for solving trigonometric equation with two different functions
- Examples for solving trigonometric equations with multi angles ex 1
- Examples for solving trigonometric equation with multi angles ex 2
- Examples for evaluating the double angle formulas for sine cosine and tangent 1
- Examples for evaluating the double angle formulas for sine cosine and tangent 2
- Examples for evaluating the double angle formulas using a triangle
- Examples for writing an expression as one single function using double angles
- Examples for verifying trigonometric identities using double angle formula
- Examples for solving trigonometric equations using double angle formulas
- Examples for evaluating the half angle formulas from a right triangle
- Examples for evaluating the half angle formulas given an angle
- Examples for evaluating the half angle formulas given an equation and contraint
- Examples for evaluating half angle formulas with constraints ex 3
- Evaluating the half angle formulas given and equation and constraint ex 2
- Examples for verifying trigonometric identities using half angle formulas
- Examples for evaluating the sum and different formulas for sine and cosine
- Examples for evaluating the sum and difference formulas for tangent
- Examples for verifying trigonometric identities using sum and difference formula
- Examples for solving trigonometric equations using sum and difference formulas
- Examples for solving the ambiguous case using Law of Sines SSA
- Examples for determining the ambiguous case SSA
- Examples for solving the missing parts of a triangle using Law of Sines AAS ASA
- Examples for solving the missing parts of a triangle using Law of Cosines SAS
- Examples for solving the missing parts of a triangle using Law of Cosines SSS
- Examples of Operations of vectors including dot product and magnitude
- Examples for writing the vector given the direction and magnitude
- Master Writing the vector in the same direction given the magnitude
- Examples for determining the unit vector
- Examples for determining the angle between two vectors
- Examples for determining if two vectors are orthogonal, parallel or neither
- Examples for writing the vector given the initial and terminal points
- Examples for determining the magnitude of a vector
- Sketching a vector
- Examples of operations of vectors including dot product
- Examples for adding, subtracting and multiplying vectors

## (6) Double Angle Formulas

- Reference Sheet Fundamental Identites
- What are the reciprocal identities?
- What are the co-function identities?
- What are the quotient identities?
- What are the Pythagorean identities?
- What are the even odd identities?
- What is the division property for trigonometric expressions
- How to add and subtract fractions with unlike denominators
- How do you simplify a trigonometric expression?
- Examples for simplifying trigonometric expression using trigonometric identities
- Examples for simplifying trigonometric expression by factoring
- Verifying Trigonometric Identities Examples 1-24
- Examples for verifying trigonometric identities ex 1
- Examples for verifying trigonometric identities using co-function and even odd
- Examples for verifying trigonometric identities using multiple steps
- Examples for verifying trigonometric identities with rational expressions
- Essential Questions for Verifying Trigonometry Identities
- Examples for solving trigonometric equations using inverse operations
- Examples for solving trigonometric equations using inverse operations ex 2
- Examples for solving trigonometric equations using Pythagorean Identities
- Examples for solving trigonometric equations using factoring
- Examples for solving trigonometric equation with two different functions
- Examples for solving trigonometric equations with multi angles ex 1
- Examples for solving trigonometric equation with multi angles ex 2
- Examples for evaluating the double angle formulas for sine cosine and tangent 1
- Examples for evaluating the double angle formulas for sine cosine and tangent 2
- Examples for evaluating the double angle formulas using a triangle
- Examples for writing an expression as one single function using double angles
- Examples for verifying trigonometric identities using double angle formula
- Examples for solving trigonometric equations using double angle formulas
- Examples for evaluating the half angle formulas from a right triangle
- Examples for evaluating the half angle formulas given an angle
- Examples for evaluating the half angle formulas given an equation and contraint
- Examples for evaluating half angle formulas with constraints ex 3
- Evaluating the half angle formulas given and equation and constraint ex 2
- Examples for verifying trigonometric identities using half angle formulas
- Examples for evaluating the sum and different formulas for sine and cosine
- Examples for evaluating the sum and difference formulas for tangent
- Examples for verifying trigonometric identities using sum and difference formula
- Examples for solving trigonometric equations using sum and difference formulas
- Examples for solving the ambiguous case using Law of Sines SSA
- Examples for determining the ambiguous case SSA
- Examples for solving the missing parts of a triangle using Law of Sines AAS ASA
- Examples for solving the missing parts of a triangle using Law of Cosines SAS
- Examples for solving the missing parts of a triangle using Law of Cosines SSS
- Examples of Operations of vectors including dot product and magnitude
- Examples for writing the vector given the direction and magnitude
- Master Writing the vector in the same direction given the magnitude
- Examples for determining the unit vector
- Examples for determining the angle between two vectors
- Examples for determining if two vectors are orthogonal, parallel or neither
- Examples for writing the vector given the initial and terminal points
- Examples for determining the magnitude of a vector
- Sketching a vector
- Examples of operations of vectors including dot product
- Examples for adding, subtracting and multiplying vectors

## (7) Half Angle Formulas

- Reference Sheet Fundamental Identites
- What are the reciprocal identities?
- What are the co-function identities?
- What are the quotient identities?
- What are the Pythagorean identities?
- What are the even odd identities?
- What is the division property for trigonometric expressions
- How to add and subtract fractions with unlike denominators
- How do you simplify a trigonometric expression?
- Examples for simplifying trigonometric expression using trigonometric identities
- Examples for simplifying trigonometric expression by factoring
- Verifying Trigonometric Identities Examples 1-24
- Examples for verifying trigonometric identities ex 1
- Examples for verifying trigonometric identities using co-function and even odd
- Examples for verifying trigonometric identities using multiple steps
- Examples for verifying trigonometric identities with rational expressions
- Essential Questions for Verifying Trigonometry Identities
- Examples for solving trigonometric equations using inverse operations
- Examples for solving trigonometric equations using inverse operations ex 2
- Examples for solving trigonometric equations using Pythagorean Identities
- Examples for solving trigonometric equations using factoring
- Examples for solving trigonometric equation with two different functions
- Examples for solving trigonometric equations with multi angles ex 1
- Examples for solving trigonometric equation with multi angles ex 2
- Examples for evaluating the double angle formulas for sine cosine and tangent 1
- Examples for evaluating the double angle formulas for sine cosine and tangent 2
- Examples for evaluating the double angle formulas using a triangle
- Examples for writing an expression as one single function using double angles
- Examples for verifying trigonometric identities using double angle formula
- Examples for solving trigonometric equations using double angle formulas
- Examples for evaluating the half angle formulas from a right triangle
- Examples for evaluating the half angle formulas given an angle
- Examples for evaluating the half angle formulas given an equation and contraint
- Examples for evaluating half angle formulas with constraints ex 3
- Evaluating the half angle formulas given and equation and constraint ex 2
- Examples for verifying trigonometric identities using half angle formulas
- Examples for evaluating the sum and different formulas for sine and cosine
- Examples for evaluating the sum and difference formulas for tangent
- Examples for verifying trigonometric identities using sum and difference formula
- Examples for solving trigonometric equations using sum and difference formulas
- Examples for solving the ambiguous case using Law of Sines SSA
- Examples for determining the ambiguous case SSA
- Examples for solving the missing parts of a triangle using Law of Sines AAS ASA
- Examples for solving the missing parts of a triangle using Law of Cosines SAS
- Examples for solving the missing parts of a triangle using Law of Cosines SSS
- Examples of Operations of vectors including dot product and magnitude
- Examples for writing the vector given the direction and magnitude
- Master Writing the vector in the same direction given the magnitude
- Examples for determining the unit vector
- Examples for determining the angle between two vectors
- Examples for determining if two vectors are orthogonal, parallel or neither
- Examples for writing the vector given the initial and terminal points
- Examples for determining the magnitude of a vector
- Sketching a vector
- Examples of operations of vectors including dot product
- Examples for adding, subtracting and multiplying vectors

## (8) Sum and Difference Formulas

- Reference Sheet Fundamental Identites
- What are the reciprocal identities?
- What are the co-function identities?
- What are the quotient identities?
- What are the Pythagorean identities?
- What are the even odd identities?
- What is the division property for trigonometric expressions
- How to add and subtract fractions with unlike denominators
- How do you simplify a trigonometric expression?
- Examples for simplifying trigonometric expression using trigonometric identities
- Examples for simplifying trigonometric expression by factoring
- Verifying Trigonometric Identities Examples 1-24
- Examples for verifying trigonometric identities ex 1
- Examples for verifying trigonometric identities using co-function and even odd
- Examples for verifying trigonometric identities using multiple steps
- Examples for verifying trigonometric identities with rational expressions
- Essential Questions for Verifying Trigonometry Identities
- Examples for solving trigonometric equations using inverse operations
- Examples for solving trigonometric equations using inverse operations ex 2
- Examples for solving trigonometric equations using Pythagorean Identities
- Examples for solving trigonometric equations using factoring
- Examples for solving trigonometric equation with two different functions
- Examples for solving trigonometric equations with multi angles ex 1
- Examples for solving trigonometric equation with multi angles ex 2
- Examples for evaluating the double angle formulas for sine cosine and tangent 1
- Examples for evaluating the double angle formulas for sine cosine and tangent 2
- Examples for evaluating the double angle formulas using a triangle
- Examples for writing an expression as one single function using double angles
- Examples for verifying trigonometric identities using double angle formula
- Examples for solving trigonometric equations using double angle formulas
- Examples for evaluating the half angle formulas from a right triangle
- Examples for evaluating the half angle formulas given an angle
- Examples for evaluating the half angle formulas given an equation and contraint
- Examples for evaluating half angle formulas with constraints ex 3
- Evaluating the half angle formulas given and equation and constraint ex 2
- Examples for verifying trigonometric identities using half angle formulas
- Examples for evaluating the sum and different formulas for sine and cosine
- Examples for evaluating the sum and difference formulas for tangent
- Examples for verifying trigonometric identities using sum and difference formula
- Examples for solving trigonometric equations using sum and difference formulas
- Examples for solving the ambiguous case using Law of Sines SSA
- Examples for determining the ambiguous case SSA
- Examples for solving the missing parts of a triangle using Law of Sines AAS ASA
- Examples for solving the missing parts of a triangle using Law of Cosines SAS
- Examples for solving the missing parts of a triangle using Law of Cosines SSS
- Examples of Operations of vectors including dot product and magnitude
- Examples for writing the vector given the direction and magnitude
- Master Writing the vector in the same direction given the magnitude
- Examples for determining the unit vector
- Examples for determining the angle between two vectors
- Examples for determining if two vectors are orthogonal, parallel or neither
- Examples for writing the vector given the initial and terminal points
- Examples for determining the magnitude of a vector
- Sketching a vector
- Examples of operations of vectors including dot product
- Examples for adding, subtracting and multiplying vectors

## (9) Oblique Triangles

- Reference Sheet Fundamental Identites
- What are the reciprocal identities?
- What are the co-function identities?
- What are the quotient identities?
- What are the Pythagorean identities?
- What are the even odd identities?
- What is the division property for trigonometric expressions
- How to add and subtract fractions with unlike denominators
- How do you simplify a trigonometric expression?
- Examples for simplifying trigonometric expression using trigonometric identities
- Examples for simplifying trigonometric expression by factoring
- Verifying Trigonometric Identities Examples 1-24
- Examples for verifying trigonometric identities ex 1
- Examples for verifying trigonometric identities using co-function and even odd
- Examples for verifying trigonometric identities using multiple steps
- Examples for verifying trigonometric identities with rational expressions
- Essential Questions for Verifying Trigonometry Identities
- Examples for solving trigonometric equations using inverse operations
- Examples for solving trigonometric equations using inverse operations ex 2
- Examples for solving trigonometric equations using Pythagorean Identities
- Examples for solving trigonometric equations using factoring
- Examples for solving trigonometric equation with two different functions
- Examples for solving trigonometric equations with multi angles ex 1
- Examples for solving trigonometric equation with multi angles ex 2
- Examples for evaluating the double angle formulas for sine cosine and tangent 1
- Examples for evaluating the double angle formulas for sine cosine and tangent 2
- Examples for evaluating the double angle formulas using a triangle
- Examples for writing an expression as one single function using double angles
- Examples for verifying trigonometric identities using double angle formula
- Examples for solving trigonometric equations using double angle formulas
- Examples for evaluating the half angle formulas from a right triangle
- Examples for evaluating the half angle formulas given an angle
- Examples for evaluating the half angle formulas given an equation and contraint
- Examples for evaluating half angle formulas with constraints ex 3
- Evaluating the half angle formulas given and equation and constraint ex 2
- Examples for verifying trigonometric identities using half angle formulas
- Examples for evaluating the sum and different formulas for sine and cosine
- Examples for evaluating the sum and difference formulas for tangent
- Examples for verifying trigonometric identities using sum and difference formula
- Examples for solving trigonometric equations using sum and difference formulas
- Examples for solving the ambiguous case using Law of Sines SSA
- Examples for determining the ambiguous case SSA
- Examples for solving the missing parts of a triangle using Law of Sines AAS ASA
- Examples for solving the missing parts of a triangle using Law of Cosines SAS
- Examples for solving the missing parts of a triangle using Law of Cosines SSS
- Examples of Operations of vectors including dot product and magnitude
- Examples for writing the vector given the direction and magnitude
- Master Writing the vector in the same direction given the magnitude
- Examples for determining the unit vector
- Examples for determining the angle between two vectors
- Examples for determining if two vectors are orthogonal, parallel or neither
- Examples for writing the vector given the initial and terminal points
- Examples for determining the magnitude of a vector
- Sketching a vector
- Examples of operations of vectors including dot product
- Examples for adding, subtracting and multiplying vectors

## (10) Vectors

- Reference Sheet Fundamental Identites
- What are the reciprocal identities?
- What are the co-function identities?
- What are the quotient identities?
- What are the Pythagorean identities?
- What are the even odd identities?
- What is the division property for trigonometric expressions
- How to add and subtract fractions with unlike denominators
- How do you simplify a trigonometric expression?
- Examples for simplifying trigonometric expression using trigonometric identities
- Examples for simplifying trigonometric expression by factoring
- Verifying Trigonometric Identities Examples 1-24
- Examples for verifying trigonometric identities ex 1
- Examples for verifying trigonometric identities using co-function and even odd
- Examples for verifying trigonometric identities using multiple steps
- Examples for verifying trigonometric identities with rational expressions
- Essential Questions for Verifying Trigonometry Identities
- Examples for solving trigonometric equations using inverse operations
- Examples for solving trigonometric equations using inverse operations ex 2
- Examples for solving trigonometric equations using Pythagorean Identities
- Examples for solving trigonometric equations using factoring
- Examples for solving trigonometric equation with two different functions
- Examples for solving trigonometric equations with multi angles ex 1
- Examples for solving trigonometric equation with multi angles ex 2
- Examples for evaluating the double angle formulas for sine cosine and tangent 1
- Examples for evaluating the double angle formulas for sine cosine and tangent 2
- Examples for evaluating the double angle formulas using a triangle
- Examples for writing an expression as one single function using double angles
- Examples for verifying trigonometric identities using double angle formula
- Examples for solving trigonometric equations using double angle formulas
- Examples for evaluating the half angle formulas from a right triangle
- Examples for evaluating the half angle formulas given an angle
- Examples for evaluating the half angle formulas given an equation and contraint
- Examples for evaluating half angle formulas with constraints ex 3
- Evaluating the half angle formulas given and equation and constraint ex 2
- Examples for verifying trigonometric identities using half angle formulas
- Examples for evaluating the sum and different formulas for sine and cosine
- Examples for evaluating the sum and difference formulas for tangent
- Examples for verifying trigonometric identities using sum and difference formula
- Examples for solving trigonometric equations using sum and difference formulas
- Examples for solving the ambiguous case using Law of Sines SSA
- Examples for determining the ambiguous case SSA
- Examples for solving the missing parts of a triangle using Law of Sines AAS ASA
- Examples for solving the missing parts of a triangle using Law of Cosines SAS
- Examples for solving the missing parts of a triangle using Law of Cosines SSS
- Examples of Operations of vectors including dot product and magnitude
- Examples for writing the vector given the direction and magnitude
- Master Writing the vector in the same direction given the magnitude
- Examples for determining the unit vector
- Examples for determining the angle between two vectors
- Examples for determining if two vectors are orthogonal, parallel or neither
- Examples for writing the vector given the initial and terminal points
- Examples for determining the magnitude of a vector
- Sketching a vector
- Examples of operations of vectors including dot product
- Examples for adding, subtracting and multiplying vectors

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