# Math Help - trig substitution?

1. ## trig substitution?

hia, does anyone know the substitution they used to get this:

Questions is find the solutions for this, 1= $2cos^2(2x)-sin(2x)$ and they got $2sin^2(2x)+sin(2x)$

thanks!!?

2. What are you solving for?

3. just says find all the solutions from 0 to 2pi,, answers in terms of pi cant see how they got that second expression though,(ie in the solutions??) any clue?

4. Maybe i'm misunderstanding, solutions for what? x?

All I can say at the moment is that

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

5. i menat $\theta$ instead of x and if that is the case what youve said then surely theyre solution is wrong ''.