Find an Online Tutor Now

Caitlyn C.

asked • 05/26/18

Why do sine waves cycle between 1 and -1?

In the sine function y=sin(x), why does the sinusoid travel between 1 and -1

2 Answers By Expert Tutors

By:

Andy C. answered • 05/26/18

Tutor
4.9 (27)

Math/Physics Tutor

MICHAEL E.

tutor
Hello Andy,
I like your answer, because it is very simple to follow. However, I like to add a little more to it. Consider the coordinate grid, with the origin at (0,0). In the 1st and 2nd quadrants, the opposite side is always a positive y-coordinate and the hypotenuse is always positive. Therefore Opposite/hypotenuse will be positive and between 0 and 1. In the 3rd and 4th quadrants, the opposite side will be always be a negative y-coordinate, and since the hypotenuse is always positive, Opposite/hypotenuse will be negative and between -1 and 0. Thank you for sharing.
Report

05/26/18

Still looking for help? Get the right answer, fast.

Ask a question for free

Get a free answer to a quick problem.
Most questions answered within 4 hours.

OR

Find an Online Tutor Now

Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.