## What is the domain and range of trigonometric functions?

There are six trigonometric functions sin θ, cos θ, tan θ, cot θ, tan θ, cosec θ, and sec θ. The domain and range of trigonometric functions are given by the angle θ and the resultant value, respectively. The domain of the trigonometric functions are angles in degrees or radians and the range is a real number.

**Why is the range of Cos?**

So, the domain of cos(x) is all real numbers. Also, the value of cos(x), depending on the point on the circle, can go to a maximum of 1 at x = 0 degrees and a minimum of -1 at x = 180 degrees. So, the range of cos(x) is from -1 to 1.

### What is the range of a sine function?

In the sine function, the domain is all real numbers and the range is -1 to 1.

**What is range and domain?**

Domain and Range. The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

## What is the range of a function example?

The set of all output values of a function. Example: when the function f(x) = x2 is given the values x = {1,2,3,…} then the range is {1,4,9,…}

**What is the range of the Cosecant function?**

The range of the function is y≤−1 or y≥1 . The graph of the cosecant function looks like this: The domain of the function y=csc(x)=1sin(x) is all real numbers except the values where sin(x) is equal to 0 , that is, the values πn for all integers n . The range of the function is y≤−1 or y≥1 .

### Why is the range of sine?

Since the sine function is defined everywhere on the real numbers, its set is R . As f is a periodic function, its range is a bounded interval given by the max and min values of the function. The maximum output of sinx is 1 , while its minimum is −1 .

**What is the range of sine function?**

## Which is the domain and range of a trigonometric function?

Therefore, Hence, we got the range and domain for sine function. Hence, for the trigonometric functions f (x)= sin x and f (x)= cos x, the domain will consist of the entire set of real numbers, as they are defined for all the real numbers. The range of f (x) = sin x and f (x)= cos x will lie from -1 to 1, including both -1 and +1, i.e.

**What’s the range of a trigonometric function cot X?**

The range of cosec x will be R- (-1,1). Since, sin x lies between -1 to1, so cosec x can never lie in the region of -1 and 1. cot x will not be defined at the points where tan x is 0.

The range is the resulting values that the dependant variable can have as x varies throughout the domain. There are no restrictions on the domain of sine and cosine functions; therefore, their domain is such that x ∈ R. Notice, however, that the range for both y = sin (x) and y = cos (x) is between -1 and 1.

### How to find the range of a function?

Answer: One can find the range of a function by the following steps: 1 The range of a function happens to the spread of possible y-values. 2 Substitution of different x-values into the expression for y so as to understand what is going on. 3 One must look for the minimum as well as the maximum values of y. 4 Represent this by drawing a sketch