Find the exact value of the expression Sin pi3 cos 5 pi12 c

Find the exact value of the expression Sin pi/3 cos 5 pi/12 + cos pi/3 sin 5 pi/12 Sin pi/3 cos 5 pi/12 + cos pi/3 sin 5 pi/12 = (Simplify your answer, including any radicals Use integers or fractions for any

Solution

sinAcosB+cosAsinB=sin(A+B)

sin(/3)cos(5/12)+cos(/3)sin(5/12)=sin(/3+5/12)

sin(/3)cos(5/12)+cos(/3)sin(5/12)=sin(4/12+5/12)

sin(/3)cos(5/12)+cos(/3)sin(5/12)=sin(9/12)

sin(/3)cos(5/12)+cos(/3)sin(5/12)=sin(3/4)

sin(/3)cos(5/12)+cos(/3)sin(5/12)= 1/2

 Find the exact value of the expression Sin pi/3 cos 5 pi/12 + cos pi/3 sin 5 pi/12 Sin pi/3 cos 5 pi/12 + cos pi/3 sin 5 pi/12 = (Simplify your answer, includi

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