Question

Describe Inverse Trigonometric Functions

Answer 1

Inverse trigonometric functions can be described as it is closely related to the basic trigonometric functions. The domain and the range of the trigonometric functions are converted to the range and domain of the inverse trigonometric functions.

In trigonometry, we learn about the relationships between angles and sides in a right-angled triangle.

Similarly, we have inverse trigonometry functions. The basic trigonometric functions are $\sin ,\cos ,\tan ,\cos ec,sec,andcot$.

The inverse trigonometric functions on the other hand are denoted as ${\sin }^{-1}x,{\cos }^{-1}x,co{t}^{-1}x,{\tan }^{-1}x,\cos e{c}^{-1}x,andse{c}^{-1}x.$

Inverse trigonometric functions have all the formulas of the basic trigonometric functions, which include the sum of functions, and double and triple of a function.

Consider, the function$y=f\left(x\right),andx=g\left(y\right)$ then the inverse function can be written as $g=f^{-1}$

This means that if $\mathrm{y}=\mathrm{f}\left(\mathrm{x}\right),\mathrm{then}\mathrm{x}={\mathrm{f}}^{-1}\left(\mathrm{y}\right).$

An example of inverse trigonometric function is $x={\sin }^{-1}y.$