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

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Answer 1 · 2016-03-31T08:40:47

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

From the given $y = sin x$ $y=sin x$

interchange the variables first

$x = sin y$ $x=sin y$

then solve for y in terms of x

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

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

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

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

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