Question

How are the inverse trigonometric functions defined?

Trigonometric Functions
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asked 2020-11-05
How are the inverse trigonometric functions defined?

Answers (1)

2020-11-06

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 \(\sin^{-1x}, \cos^{-1x}, \tan^{-1x}, \cos ec^{-1x}, \sec^{-1x}, \cot^{-1x}\)

The inverse trigonometric functions are as follows: 

\(\sin^{-1}(\frac{1}{x})=\cos ec^{-1}x\)

\(\cos^{-1}(\frac{1}{x})=\sec^{-1}x\)

\(\tan^{-1}(\frac{1}{x})=\cot^{-1}x\)

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