SOLUTION: Find the exact value for each expression Sin (3pi/4 + 5pi/6)

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Question 852266: Find the exact value for each expression
Sin (3pi/4 + 5pi/6)
Answer by lwsshak3(11628) About Me  (Show Source):
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Find the exact value for each expression
Sin (3pi/4 + 5pi/6)
Identity: sin(x+y)=sinxcosy+cosxsiny
Sin (3pi/4 + 5pi/6)=sin(3π/4)*cos(5π/6)+cos(3π/4)*sin(π/6)
=√2/2*(-√3/2)+(-√2/2*1/2)
=-√6/2-√2/2
=-(√6+√2)/2