3costheta + 4sintheta=Asin(theta + alpha) find the values of A and alpha?

Dear student,
3cosθ+4sinθ = Asinθ+αdivide and multiply by 5535cosθ+45sinθ = Asinθ+αuse sin37  =35, cos37  = 455sin37 cosθ+cos37sinθ = Asinθ+αuse sinx+y  =sinx cosy +cosx siny5sin37+θ  = Asinθ+αthen A=5 and α =37 degrees 

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