Question

Precalc Question
solve 2sin(2x) - 2sin x + 2 sqrt(3) cos x - sqrt(3) = 0

Answer 1

Try using the double angle formula on sin(2x) and then factoring

Answer 2

2sin(2x)=4sinxcosx ;
factor out 2sinx and sqrt3 so that you'll have:
2sinx(2cosx-1) +sqrt3(2cosx-1)
now factor 2cosx-1

Answer 3

so would it be 2sinx 2cosx-1(1) + (sqrt3)?

am i supposed to solve for x from here or is that my answer?

Answer 4

It'd be

\[(2\sin x +\sqrt{3})(2\cos x-1)=0\]

from which, you set each factor equal to 0 and solve for x.

Answer 5

got it thank you so much

Answer 6

np : )