6.6 Inverse Trig Functions

6.6 Inverse Trig Functions - -' 1 2 sec , 1 1 d u u u dx u...

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Inverse Trig. Functions Section 6.6
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Inverse Trig. Functions None of the 6 basic trig. functions has an inverse unless you restrict their domains.
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Inverse Properties f (f –1(x)) = x and f –1(f (x)) = x Remember that the trig. functions have inverses only in restricted domains.
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Derivatives of Inverse Trig. Functions Let u be a differentiable function of x. ' 1 2 sin , 1 1 d u u u dx u - = < - ' 1 2 cos , 1 1 d u u u dx u - - = < -
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' 1 2 tan 1 d u u dx u - = + ' 1 2 cot 1 d u u dx u - - = +
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' 1 2 csc , 1 1 d u u u dx u u - - =
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Unformatted text preview: -' 1 2 sec , 1 1 d u u u dx u u- = -Let u be a differentiable function of x , and let a > 0. du u sin C a a u-= +-∫ 1 2 2 du u tan C a u a a-= + + ∫ 1 2 2 1 u du sec C a a u u a-= +-∫ 1 2 2 1 Joke Time Who stole the soap? The Robber Ducky! What happened to the trigonometry teacher with amnesia? He lost his identities! What math is discussed between seabirds? Intergull calculus...
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This note was uploaded on 12/01/2011 for the course MATH 112 taught by Professor Jarvis during the Fall '08 term at BYU.

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6.6 Inverse Trig Functions - -' 1 2 sec , 1 1 d u u u dx u...

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