SOLUTION: Use a double- or half-angle formula to determine the value of the trigonometric function. sin(19pi/12) How to do this? Thanks!

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Question 808540: Use a double- or half-angle formula to determine the value of the trigonometric function. sin(19pi/12)
How to do this? Thanks!

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Use a double- or half-angle formula to determine the value of the trigonometric function. sin(19pi/12)
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Note:: 19pi/12 is in QIV where the sine is negative::
Reference angle:: (5/12)pi = 75 degrees
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So sin[19pi/12] = -sin[75 degrees] = -sin[150/2] = -sqrt[(1-cos(150)/2]
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= -sqrt[(1+sqrt(3)/2)/2]
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Cheers,
Stan H.
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