Question

prove that the identity:
sin(θ+π/3)+cos(θ+π/6)=√3 cosθ

Answer 1

You accidentally an extra word.

Answer 2

what?

Answer 3

"Prove the identity"
not
"Prove that the identity"

Answer 4

@SmoothMath Not very productive ;)

Remember our angle addition and subtraction formula: \(cos(A + B) = cos(A)cos(B) - sin(A)sin(B)\)

Answer 5

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

you may now use sinA + sin B identity to directly reach an answer.