 # How are the inverse trigonometric functions defined? kuCAu 2020-11-05 Answered
How are the inverse trigonometric functions defined?
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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:

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

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

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

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