SOLUTION: how to solve all solutions for 2cos^(3)x+cos^(2)x-cosx=0

Algebra ->  Trigonometry-basics -> SOLUTION: how to solve all solutions for 2cos^(3)x+cos^(2)x-cosx=0      Log On


   



Question 841051: how to solve all solutions for 2cos^(3)x+cos^(2)x-cosx=0
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Factor.
2cos%5E%283%29%28x%29%2Bcos%5E%282%29%28x%29-cos%28x%29=0
cos%28x%29%282cos%5E2%28x%29%2Bcos%28x%29-1%29=0
cos%28x%29%282cos%28x%29-1%29%28cos%28x%29-1%29=0
Three solutions:
cos%28x%29=0
x=90, x=270
.
.
2%2Acos%28x%29-1=0
cos%28x%29=1%2F2
x=60, x=300
.
.
.
cos%28x%29-1=0
cos%28x%29=1
x=0