1. ## Trig - Factoring

I've been working on a problem and Im stuck here:

2(cos(x))^2 + sin(x) - 1 = 0

I just can't figure out how to factor this any further, any help would be appreciated

2. Originally Posted by maryanna91
I've been working on a problem and Im stuck here:

2(cos(x))^2 + sin(x) - 1 = 0

I just can't figure out how to factor this any further, any help would be appreciated
$\displaystyle 2(1 - \sin^2{x}) + \sin{x} - 1 = 0$

$\displaystyle 2 - 2\sin^2{x} + \sin{x} - 1 = 0$

$\displaystyle 1 + \sin{x} - 2\sin^2{x} = 0$

factor and finish ...

3. Thanks a lot!