Question

give exactvalue if possible for sin(60+x)-cos(30+x)

Answer 1

several ways to do this

here is 1.

well you need the sum expansions

\[\sin(60 + x) - \cos(30 + x) = \sin(60)\cos(x) + \cos(60)\sin(x) - \cos(30)(\cos(x) + \sin(30)\sin(x)\]

substitute the exact values for sin(60), cos(60) sin(30) and cos(30) then simplify

hope this helps

Answer 2

i did and does the answer become zero?

Answer 3

I got sin(x)