Simplify sin(tan^(-1)x)

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asked Feb 3, 2017 164k views

1 Answer

Tim James · Answer 1 · 2017-02-08T15:26:09+0000

sin (tan^(-1)X)
Sin (1/tan X)
Sin (1/1 / tan X/1)
Tan X = sin X/cos X

Sin (1/1 / sin X/cos X)
Sin (1/1 • cos X/Sin X)
Sin (cos X/sin X )
Cos X.

I believe the correct answer is cos X.

Simplify sin(tan^(-1)x)

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