How do you simplify sin (π/3 + a)?

1 Answer
maganbhai P.
Mar 6, 2018

1/2(sqrt(3)cosalpha+sinalpha)

Explanation:

We have, color(red)(sin(A+B)=sinAcosB+cosAsinB)
Taking, A=pi/3and B=alpha, we get
sin(pi/3+alpha)=sin(pi/3)cosalpha+cos(pi/3)sinalpha=sqrt(3)/2cosalpha+1/2sinalpha=1/2(sqrt(3)cosalpha+sinalpha)

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