# Trig equations

• April 8th 2013, 04:34 PM
Kidguy
Trig equations
Can someone help me solve this:
2 + cos(x) = 2sin^2(x)
• April 8th 2013, 04:39 PM
Prove It
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.
• April 8th 2013, 04:51 PM
Kidguy
Re: Trig equations
Thank you, i didnt think about using the pythagorean identity there
• April 8th 2013, 04:54 PM
Prove It
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).
• April 8th 2013, 04:58 PM
Kidguy
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