Domain, Graph and Range of Trigonometric Functions

What is Domain and Range of Trigonometric Functions?

The input and output values of trigonometric functions are the domain and range of trigonometric functions, respectively. We know that there are six trigonometric functions namely

$\sin\theta$

$\cos\theta$

$\tan\theta$

$\cot\theta$

$\sec\theta$

$\csc\theta$

The angle and the resultant value, respectively, define the domain and range of trigonometric functions. The trigonometric functions' domain is angles in degrees or radians, and their range is a real number.

The domain of trigonometric functions specifies the values of angles where the trigonometric functions are defined, whereas the range of trigonometric functions denotes the resultant value of the trigonometric function corresponding to a certain angle in the domain.

Domain and Range of Sine Function

$y=f(x)= Sin(x)$

Domain of Sine Function
: It is defined for all real values of $x$ i.e., $(-\infty , \infty)$