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Uploaded byKelly Scallion
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Exercise #14 notes

The document discusses trigonometric identities, including 8 fundamental identities. It provides examples of using identities to simplify trigonometric functions and proves identities by showing the left and right hand sides are the same. Examples include simplifying tan θ cos θ, expressing tan θ in terms of sin θ, and proving cot θ sin θ = cosθ.

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Exercise #14 Trigonometric Identities I An identity is an equation that is ________ for all replacement values. We have already worked with some basic trig identities. 8 Fundamental Identities 1. tan   2. csc  3. sec   4. cot   5. cot   6. Pythagorean Identity 7. If the Pythagorean identity is divided by cos 2  , the result is: 8. If the Pythagorean identity is divided by sin 2  , the result is: Identities are used to simplify functions. Example Simplify tan  cos  .
Example Express tan  in terms of sin  . 2 To prove an identity, we must show that the left hand side ( ______ ) is the same as the right hand side ( ______ ). Example Prove cot  sin   cos .