SOLUTION: Showing the work, find all solutions of the equation on [0,2π]. 2 cos^2 x - 3 cos x + 1 = 0

Algebra ->  Trigonometry-basics -> SOLUTION: Showing the work, find all solutions of the equation on [0,2π]. 2 cos^2 x - 3 cos x + 1 = 0      Log On


   

Question 951507: Showing the work, find all solutions of the equation on [0,2π].
2 cos^2 x - 3 cos x + 1 = 0
Answer by josgarithmetic(39629) About Me  (Show Source):
You can put this solution on YOUR website!
Let+v=cos%28x%29;

2v%5E2-3v%2B1=0
%282v-1%29%28v-1%29=0
v=1%2F2 or v=1
;

Either cos%28x%29=1%2F2 OR cos%28x%29=1.

Possible x values, 0, pi/3