Q 101 - Precalculus Enhanced with Graphing Utilities

Question

What is the range of the sine function? 

Step-by-Step Solution

Answer

The range of the sine function is :-

$-1 to 1$.

Step 1. Given Information

We have to find the range of a sine function.

The range of a function is the set of its possible output values.

We will draw a graph of sine function using graphing utility, then calculate its range.  

Step 2. Graph of Sine function

By using graphing utility we can draw the graph of sine function as following :-

Step 3. Analyzing Range

We draw the following graph of Sine function :-

We can see that the all values of $y$ for all values of $x$, lies between $-1$and $1$.

So we can conclude that range of sine function is $-1 to 1$.