# Math Help - Solving a trigonometric equation

1. ## Solving a trigonometric equation

I need help solving the following equation for all values between 0 and 360 degrees:
sin (60 degrees - x) = 2sinx

Normally I would set the equation to zero and factor out sin, but if I move over 2sinx it isn't possible to factor out the sin x because of the stuff in the parentheses. That's where I'm stuck.

2. use the difference formula for sine on the left side ...

$\sin(a-b) = \sin{a}\cos{b} - \cos{a}\sin{b}$

btw, this one ain't pretty ...

I it get down to $\sin{x} = \pm\sqrt{\frac{3}{28}}$

3. Yeah, eventually I tried that and it worked. I got the same answer as you did, albeit a slightly different way.