PP Section 6.4

# PP Section 6.4 - Algebra and the Trigonometric Functions...

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Unformatted text preview: Algebra and the Trigonometric Functions Objective To practice using algebraic operations when working with the trigonometric functions. Being able to combine algebra and trigonometry will allow us to simplify trigonometric expressions and solve trigonometric equations, among other things. Basic Trigonometric Identities An identity is an equation that is satisfied by all the values in the domain of the variable. ) )( ( : Example 2 2 b a b a b a- + =- Trigonometric identities are identities involving the trigonometric functions. Pythagorean Identities: 1 cos sin 2 2 = + θ θ The first identity follows from the fact that sinθ and cosθ are the coordinates of a point in the unit circle whose equation is 1 2 2 = + y x θ θ 2 2 sec tan 1 = + θ θ 2 2 csc cot 1 = + The other two are obtained from the first by dividing both sides of the identity by cos² θ or by sin² θ Quotient Identities: θ θ θ cos sin tan = These identities follow from the definition of the trigonometric functions....
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PP Section 6.4 - Algebra and the Trigonometric Functions...

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