Chapter 4.5, Problem 3E

To determine

To find of a sine or cosine function represents.

Answer to Problem 3E

2π

The period of the sine and cosine functions is 2π (pi) radians or 360 degrees.

Explanation of Solution

The period of the sine function is 2π, which means that the value of the function is the same every 2π units.

For instance, sin (π) = 0. If you add 2π to the x -value, you get sin (π + 2π), which is sin (3π). Just like sin (π), sin (3π) = 0. Every time you add or subtract 2π from our x -value, the solution will be the same.