# Math Help - Trigonometric equation.

1. ## Trigonometric equation.

Hi i'm currently on Trigonometric equations.
I got stuck on one particular math problem.
It's the following problem

Sin(x*pi/2)=cos(x*pi/2)+1

-2<= x <=2

I have tried over and over again but i can't solve it...
so if some kind sperit could give me some input on how to solve it, and what method to use it would be nice

$\displaystyle \sin^2{\left(\frac{\pi}{2}x\right)} = \cos^2{\left(\frac{\pi}{2}x\right)} + 2\cos{\left(\frac{\pi}{2}x\right)} + 1$
then apply the Pythagorean Identity to get this into a quadratic equation in terms of $\displaystyle \cos{\left(\frac{\pi}{2}x\right)}$, which you can then solve.