3 cos x - 4 sin x=5. tolong dijawab dong

Persamaan trigonometri
bentuk a cos x + b sin x = c  -> k  cos (x - α) = c

3 cos x - 4 sin x = 5
a= 3
b = -4
c = 5
k =  √(a² + b²) = 5
tan α = b/a = -4/3
α = tan⁻¹ (-4/3) = -53
karena b< 0 dan a > 0 maka α di kuadran IV
α = 360 - 53 = 307

3 cos x - 4 sin x = 5
5 cos (x - 307) = 5
cos (x  - 307) =1 = cos 0
x - 327  = 0 + k.360
x = 327 + k. 360
k = 0,1,2...
k =  0 , x = 327