i need to express this function in terms of SINE ONLY: f(x) = squareroot3 sin(x) - cos(x)?

Question

This needs to be in terms of sine using f(x) = A sin (x + Z)

Answer 1

f(x) = squareroot3 sin(x) - cos(x)
=tan60 sinx- cosx
=(sin60 sinx ) /cos60 - cosx
=(sin60sinx-cos60sinx)/cos60
=sin(60-x)/cos60
=1/2* sin(60-x)

Answer 2

Sqrt(3)sinx+cosx=2{(sqrt(3)/2)sinx+(1/2)cosx}
2(cos(pi/6)sinx+sin(pi/6)cosx)=2sin(x+pi/6)