Solve the following equation in the interval [0° , 360°). cos2(x)sin(x) = sin(x)

Question

a.

x = 30⁰ , 60⁰

b.

x = 0⁰ , 180⁰

c.

x = 0⁰

d.

x = 180⁰

Answer 1

If sin(x)=0, then x= 0 or x=180.

Else, cancel sin(x) from both side s and write cos^2(x)=1. But then cos(x)=1 or -1.

We then get x= 0 or x=180, resp.