# How do you write the equation -4/3=tanx in the form of an inverse function?

Oct 22, 2017

#### Answer:

See other answer.

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Oct 23, 2017

#### Answer:

Please see below.

#### Explanation:

$\tan a = b$ if and only of $a = {\tan}^{-} 1 \left(b\right) + \pi k$ for some integer $k$.

So

$x = {\tan}^{-} 1 \left(- \frac{4}{3}\right) + \pi k$ for integer $k$