# How do you find the inverse of y=sinx and is it a function?

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#### Explanation

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#### Explanation:

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6
Mar 31, 2016

$y = {\sin}^{-} 1 x$

#### Explanation:

From the given $y = \sin x$

interchange the variables first

$x = \sin y$

then solve for y in terms of x

${\sin}^{-} 1 x = {\sin}^{-} 1 \left(\sin y\right)$

${\sin}^{-} 1 x = y$

$y = {\sin}^{-} 1 x$

God bless...I hope the explanation is useful.

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