Proving Trig Functions

Question

Prove an identity

cos(x - pi/3) - sin(x + pi/6) = 0

Use the Addition and Subtraction Formulas, and simplify.

Answer 1

cos(x -π/3) - sin(x + π/6) = cos(x - π/3) - cos(π/2 - (x + π/6)) = cos(x - π/3) - cos(π/3 - x) = cos(x - π/3) -

cos(x - π/3) = 0'