Question

cosø+sinø-sin2ø=1/2 ,0<=ø>=180 degree

Answer 1

wait

Answer 2

sorry it's hard

Answer 3

sin2 theta = 2sintheta costheta

Answer 4

factorize

Answer 5

cos x + sinx - 2 sinx cosx = 1/2

sinx ( 1 - 2 cosx) = (1-2cosx)/2

sinx =1/2

x = 30 degree

Answer 6

there are more answers

Answer 7

\[\cos x + \sin x - 2 \sin x \cos x = \frac{1}{2}\]\[\cos x -\frac{1}{2}+ \sin x - 2 \sin x \cos x =0\]\[\frac{1}{2}(2\cos x -1)- \sin x (2 \cos x-1) =0\]\[(2\cos x-1)(\sin x-\frac{1}{2})=0\]according to the zero product property

\(\cos x =\frac{1}{2}\) it gives \(x=\frac{\pi}{3}\) or \(\sin x =\frac{1}{2}\) it gives \(x=\frac{\pi}{6},\frac{5\pi}{6}\)