Find the solutions for this equation in the interval [0, 2pi).

cos^3 x = cos x

Are they 0 and pi?

2 answers

looks like it to me.

cos^3x - cosx = 0
cosx (cosx-1)(cosx+1) = 0

Oops. Looks like you left out where cosx=0.
0, pi/2, pi, and 3pi/2?