# How are the inverse trigonometric functions defined?

How are the inverse trigonometric functions defined?
You can still ask an expert for help

• Questions are typically answered in as fast as 30 minutes

Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it

Usamah Prosser

To write how the inverse trigonometric functions are defined?
The basic trigonometric functions are sine, cosine, tangent, cotangent, secant and cosecant function.
The inverse trigonometric function are defined as the inverse of basic trigonometric functions and it is denoted by ${\mathrm{sin}}^{-1x},{\mathrm{cos}}^{-1x},{\mathrm{tan}}^{-1x},\mathrm{cos}e{c}^{-1x},{\mathrm{sec}}^{-1x},{\mathrm{cot}}^{-1x}$

The inverse trigonometric functions are as follows:

${\mathrm{sin}}^{-1}\left(\frac{1}{x}\right)=\mathrm{cos}e{c}^{-1}x$

${\mathrm{cos}}^{-1}\left(\frac{1}{x}\right)={\mathrm{sec}}^{-1}x$

${\mathrm{tan}}^{-1}\left(\frac{1}{x}\right)={\mathrm{cot}}^{-1}x$

Jeffrey Jordon