Question

How do you solve `Sin(x+π/6) + cos(x+π/3) = cosx`?

Answer 1

True for any arbitrary x.

Explanation:

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

`= (1/2+1/2) cos x + (sqrt3/2 - sqrt 3/2) sin x`

#= cos x = RHS.

This is an identity.