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If <span title="sin(x+y)=sinxcosy+cosxsiny,find">sin(x+y)=sinxcosy+cosxsin...</span> sin(Ï€/2+a)?

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If sin(x+y)=sinxcosy+cosxsin... sin(Ï€/2+a)?

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  1. you make x=pi/2 and y=a

    then: sin(pi/2+a) = sin(pi/2)cos(a)+sin(a).cos(pi/2)

    but we know that sin(pi/2) = 1 and cos(pi/2) = 0

    then we get: sin(pi/2+a) = cos(a)

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