mohon bantuannya buat bsok presentasi ^_^ ... nanti dikasih best solution yg jawabannya lengkap

jawab

cos x + √3 . tan 30 = 2 sin 1/2 x cos 1/2 x
cos x + √3. (1/3 √3) = sin (1/2 x + 1/2 x) + sin (1/2 x - 1/2 x)
cos x + 1 = sin x + sin 0
cos x + 1 = sin x
cos x  - sin x = -1
sin(90-x) - sin x = -1

2 cos 1/2{90-x +x} sin 1/2 (90 -x - x) = -1
2 cos 45 . sin (45 - x) = - 1
2 (1/2 √2) . sin (45-x) = -1
√2. sin(45-x) = - 1
sin(45-x) = - 1/2√2

sin (45- x) = - sin 45
-sin (x- 45) = - sin 45
x- 45 = 45 + k. 360  atau x - 45 = 225 + k. 360
x = 90 + k.360  atau x = 270 + k. 360
k =0 , x = 90 , x= 270

HP x ( 90, 270)