The document discusses trigonometric identities and provides steps to solve related problems. It first reviews that sine and cosine are the basic trig functions and introduces the Pythagorean identities. It then presents two example problems and provides multi-step solutions using trig identities, including the Pythagorean identities, SOHCAHTOA, and "cosine dance" techniques. The goal is to simplify trigonometric expressions and solve for desired trig functions.

1. Trigonometric Identities Trigonometrical Trauma by flickr user vortistic

2. Review… The basic building blocks of all trigonometric functions are the sine and cosine functions. The Fundamental Identities The Pythagorean Identities which also implies the following.. The Corollaries

3. Question #1 This can also be written as… Step 1

4. Continued.. This is then turned into… cos θ and sinθ both cancel leaving with… Which is also the same as… Step 2 Step 3

5. Finishing it off It should then look like this…

6. Question #2 Given this information.. Step 1 (remember SOH/CAH/TOA)

7. Step 2 (do the cosine dance!)