Verification: cos α + √ 3 · sin α = 2Sin (π / 6 + α). Need detailed process, thank you

Verification: cos α + √ 3 · sin α = 2Sin (π / 6 + α). Need detailed process, thank you

cosα+√3·sinα
=2*[(1/2)cosα+(√3)sinα/2]
=2*sin[α+(π/6)]