SOLUTION: Use sum of difference identities to find the exact value of sin(105°).

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Question 366643: Use sum of difference identities to find the exact value of sin(105°).
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
sin(105) = sin(60 + 45) = sin(60)*cos(45) + cos(60)*sin(45)
= %28sqrt%283%29%2F2%29%2A%28sqrt%282%29%2F2%29+%2B+%281%2F2%29%2A%28sqrt%282%29%2F2%29
=sqrt%286%29%2F4%29+ %28sqrt%282%29%29%2F4+
=%28sqrt%286%29%2B+sqrt%282%29%29%2F4+