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# Pre-Cal 40S Slides March 18, 2008

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More on the Pythgorean Identities.

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### Pre-Cal 40S Slides March 18, 2008

1. 1. More Pythagoras ... 100 Anachronistic Philosophers 1-4 B by stungeye
2. 2. Which implies ... The corollaries ... difference of squares
3. 3. Simplify
4. 4. Let's warm up ... Simplify each of the following as much as possible:
5. 5. Let's warm up ... Simplify each of the following as much as possible:
6. 6. Prove the following identity ...
7. 7. Some Strategies for Proving Trigonometric Identities (1) Work with the more complicated side of the identity first. (2) Rewrite both sides of the identity exclusively in terms of sine and cosine. (3) Use a Pythagorean identity to make an appropriate substitution. (4) Simplify complex fractions or rewrite fractions sums or differences with a single denominator. (5) Use factoring (especially differences of squares). All of the above are just suggestions or quot;rules of thumb.quot; Feel free to disregard any or all of the above at any time. Even and Odd Identities sin(-x) = -sin(x) cos(-x) = cos(x) tan(-x) = -tan(x) The sine and tangent functions are ODD functions. Cosine is an EVEN function.
8. 8. Prove each of the following identities ...
9. 9. Prove each of the following identities ...
10. 10. Prove each of the following identities ...
11. 11. Prove each of the following identities ...
12. 12. Prove the following identity ...
13. 13. Prove each of the following identities ...
14. 14. Prove each of the following identities ...
15. 15. Which of the following or is an identity for the function ƒ(x) below?
16. 16. Which of the following or is an identity for the function ƒ(x) below?
17. 17. Next time in math class ... we dance! cat attack by fuffer
18. 18. Prove each of the following identities ...
19. 19. Prove each of the following identities ...