SOLUTION: Using the half angle identities find the exact value of sin 11.25º.

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Question 916235: Using the half angle identities find the exact value of sin 11.25º.
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Using the half angle identities find the exact value of sin 11.25˚.
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sin%28x%2F2%29=sqrt%28%281-cosx%29%2F2%29
sin%2811.25%29=sin%2822.5%2F2%29=sqrt%28%281-cos%2822.5%29%29%2F2%29
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Exact value=sin%2811.25%29=sqrt%28%281-sqrt%28%282%2Bsqrt%282%29%29%2F4%29%29%2F2%29≈0.1949...
By calculator:
sin 11.25˚≈0.1950...