SOLUTION: Find the value of sin (arc cos 1/2 + arc tan 1)

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Question 1197233: Find the value of sin (arc cos 1/2 + arc tan 1)
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
acos(1/2) = 60 degrees
atan(1) = 45 degrees.
sin(60 + 45) = sin(105) = .9659258263
if you let a = 60 and b = 45, you get:
sin(a+b) = sin(a)cos(b) + cos(a)sin(b) = sin(60)cos(45) + cos(60)sin(45) = sqrt(3)/2 * sqrt(2)/2 + 1/2 * sqrt(2)/2 = sqrt(3)*sqrt(2)/4 + sqrt(2)/4 = (sqrt(6)+sqrt(2))/4 = .9659258263.