Question

How would you rewrite sin(x-pi/3)?

Answer 1

Using the sin difference identity...see below

`color(blue)((sinx-sqrt3cosx)/2`

Explanation:

`sin(theta-alpha)= sintheta*cosalpha-costheta*sinalpha`

So in this case:
`sin(x-pi/3)= sinx*cos(pi/3)-cosx*sin(pi/3)`

But we can simplify:
`sinx*(1/2)-cosx*(sqrt3/2)=`

`(sinx-sqrt3cosx)/2`