Question 819012: Find exact value of:
Sin(pie/12)
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Find exact value of:
Sin(pie/12)
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pi/12 = (pi/3)-(pi/4)
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sin(pi/12) = sin[(pi/3)-(pi/4)]
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= sin(pi/3)*cos(pi/4)-sin(pi/4)*cos(pi/3)
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= (sqrt(3)/2) * (sqrt(2)/2) - (sqrt(2)/2) * (1/2)
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= sqrt(6)/4 - sqrt(2)/4
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= [sqrt(6)-sqrt(2)]/4
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Cheers,
Stan H.
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