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
