Can someone help me solve this:

2 + cos(x) = 2sin^2(x)

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- Apr 8th 2013, 04:34 PMKidguyTrig equations
Can someone help me solve this:

2 + cos(x) = 2sin^2(x) - Apr 8th 2013, 04:39 PMProve ItRe: Trig equations
Rewrite it as $\displaystyle \displaystyle 2 + \cos{(x)} = 2\left[ 1 - \cos^2{(x)} \right]$, expand everything, move to one side and solve the resulting quadratic equation.

- Apr 8th 2013, 04:51 PMKidguyRe: Trig equations
Thank you, i didnt think about using the pythagorean identity there

- Apr 8th 2013, 04:54 PMProve ItRe: 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).

- Apr 8th 2013, 04:58 PMKidguyRe: Trig equations
Yeah, i know all of my problems have two trig functions but i have a hard time getting them to only one