Find the exact value of the expression sin pi3 cos pi2 cos

Find the exact value of the expression sin pi/3 cos pi/2 + cos pi/3 sin pi/2 sin pi/3 cos pi/2 + cos pi/3 sin pi/2 =

Solution

sin(a)cos(b)+cos(a)sin(b) =sin(a+b)

sin(/3)cos(/2)+cos(/3)sin(/2) =sin(/3+/2)

sin(/3)cos(/2)+cos(/3)sin(/2) =sin(5/6)

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

 Find the exact value of the expression sin pi/3 cos pi/2 + cos pi/3 sin pi/2 sin pi/3 cos pi/2 + cos pi/3 sin pi/2 = Solutionsin(a)cos(b)+cos(a)sin(b) =sin(a+b

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