SOLUTION: Use a half angle identity to find the exact value of sin(pi/12) Show work please!

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Question 863563: Use a half angle identity to find the exact value of sin(pi/12)
Show work please!
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Use a half angle identity to find the exact value of sin(pi/12)
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Formula: sin(x/2) = sqrt[(1-cos(x))/2]
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sin(pi/12) = sqrt[(1-cos(pi/6))/2]
= sqrt[(1-sqrt(3)/2))/2]
= sqrt[(2-sqrt(3))/4]
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= (1/2)sqrt(2-sqrt(3))
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Cheers,
Stan H.
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