Question

How do you simplify `Sin (pi/3 - x)-cos(pi/6 + x)`?

Answer 1

0

Explanation:

`sin (pi/3-x)= sin (pi/3) cos x- cos (pi/3) sinx`
= `sqrt 3/2 cos x -1/2 sinx`

`cos(pi/6+x)= cos (pi/6)cos x- sin (pi/6) sin x`

`= sqrt 3/2 cos x- 1/2 sin x`

On subtracting the answer would be 0 as both expressions are equal