Question

Your friend claims that the only solution to the equation sin(x)=1 is x=90 degrees. Is your friend correct? If there are more solutions, explain how to determine additional solutions.

Answer 1

see below

Explanation:

sin(x)=1

Take the inverse sin of each side

sin ^ -1(sin(x))=sin ^-1(1)

x =90 + 360n where n is an integer

We can go around the unit circle and find more solutions

When x = 450, sin 450 = 1

When x = -270, sin (-270) = 1