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8.1 Verifying Identities.

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Presentation on theme: "8.1 Verifying Identities."— Presentation transcript:

1 8.1 Verifying Identities

2 Identities You Already Know
Quotient Identities Reciprocal Identities

3 Pythagorean Theorem sin cos
Let’s use Pythagorean Thm to find some other identities Divide by r2 sin cos We write it like this:

4 Now, let’s find some more 
Divide by cos2 1 tan2 sec2

5 Now, let’s find one more 
Divide by sin2 1 cot2 csc2

6 Pythagorean Identities
Memorize!!!! One who wants a tan, seeks the sun One person on a cot makes a cozy sleepy camper

7 Ex 1) Reduce costan to sin

8 Ex 2) Prove the identity:
Reduce the more complicated side Don’t touch the other side

9 Ex 2) Prove the identity:
Multiply by recip

10 Ex 3) Verify the identity:
Work on this side  IDENTITY!!

11 Homework #801 Pg – 13 odd, 31, 33


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