# Math Help - Trig equations

1. ## Trig equations

Can someone help me solve this:
2 + cos(x) = 2sin^2(x)

2. ## Re: Trig equations

Rewrite it as $\displaystyle 2 + \cos{(x)} = 2\left[ 1 - \cos^2{(x)} \right]$, expand everything, move to one side and solve the resulting quadratic equation.

3. ## Re: Trig equations

Thank you, i didnt think about using the pythagorean identity there

4. ## Re: Trig equations

Generally, trigonometric equations with powers are only possible to be solved if you can get it the equation to be only of a single trigonometric function (in this case, the cosine function).

5. ## Re: Trig equations

Yeah, i know all of my problems have two trig functions but i have a hard time getting them to only one