# How do you write the equation sin45=y in the form of an inverse function?

Nov 19, 2017

See below.

#### Explanation:

You don't have a function. A function would be of the form $f \left(x\right) = \sin x$ or $y = \sin x$. The inverse of $f \left(x\right) = \sin x$ would be:

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

In the example:

$\sin \left(45\right) = 1$

And:

${\sin}^{-} 1 \left(1\right) = 45 , 135$