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8.1 Verifying Identities
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Identities You Already Know
Quotient Identities Reciprocal Identities
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Pythagorean Theorem sin cos
Let’s use Pythagorean Thm to find some other identities Divide by r2 sin cos We write it like this:
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Now, let’s find some more
Divide by cos2 1 tan2 sec2
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Now, let’s find one more
Divide by sin2 1 cot2 csc2
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Pythagorean Identities
Memorize!!!! One who wants a tan, seeks the sun One person on a cot makes a cozy sleepy camper
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Ex 1) Reduce costan to sin
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Ex 2) Prove the identity:
Reduce the more complicated side Don’t touch the other side
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Ex 2) Prove the identity:
Multiply by recip
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Ex 3) Verify the identity:
Work on this side IDENTITY!!
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Homework #801 Pg – 13 odd, 31, 33
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