# How do you write the equation tana=b in the form of an inverse function?

Dec 3, 2016

${\tan}^{- 1} b = a$

#### Explanation:

When we write an inverse function, we are identifying the angle, whose trigonometric ratio is known.

In this case as $\tan a = b$, we have the angle $a$, whose tangent ratio is b.

And inverse function is written as ${\tan}^{- 1} b$, which is equal to
$a$

or ${\tan}^{- 1} b = a$ .