SOLUTION: Using the sum/difference formula find: sin(pi/12) In class, we started by using the unit circle and searching for radicals that can be added to have the same denominator as the

Question 736211: Using the sum/difference formula find: sin(pi/12)
In class, we started by using the unit circle and searching for radicals that can be added to have the same denominator as the fraction given. My only issue is that how can I get the numerator to equal ONE pi.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Using the sum/difference formula find: sin(pi/12)
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sin(pi/12) = sin[(pi/3)-(pi/4)] = sin(pi/3)cos(pi/4)-cos(pi/3)sin(pi/4)
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= (sqrt(3)/2)(sqrt(2)/2) - (1/2)(sqrt(2)/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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