SOLUTION: Use an appropriate half-angle formula to find the exact value of the expression. cos(-112.5) I did the problem and got sqrt(2-sqrt(2))/(2) and its wrong. Help me solve this and

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Question 425048: Use an appropriate half-angle formula to find the exact value of the expression.
cos(-112.5)
I did the problem and got sqrt(2-sqrt(2))/(2) and its wrong. Help me solve this and find my mistake. Please and thank you!

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
cos(a/2) = ± sqrt( (1+cos(a))/2)
cos(-225) = -sqrt(2)/2
-----------------------
cos(-112.5) = sqrt(0.5 - sqrt(2))/4)
= sqrt(0.5 - sqrt(2))/2
=~ -0.38268

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