SOLUTION: find the exact value of the expression sin 165 degrees

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Question 482088: find the exact value of the expression
sin 165 degrees
Answer by lwsshak3(11628) About Me  (Show Source):
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find the exact value of the expression sin 165 degrees.
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sin (x+y)=sinxcosy+cosxsiny
sin 165º=sin(120+45)
=(sin120*cos45)+cos120*sin45)
=(√3/2*√2/2)+(-1/2*√2/2)
=((√6)/4)-√2/4
sin 165º=(√6-√2)/4