SOLUTION: Find the exact value of sin(a-B) if sin a=(5/13) and sin B=(8/17) and a and B are between 0 and pi/2
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Question 888014: Find the exact value of sin(a-B) if sin a=(5/13) and sin B=(8/17) and a and B are between 0 and pi/2
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find the exact value of sin(a-B) if sin a=(5/13) and sin B=(8/17) and a and B are between 0 and pi/2
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If sin(a) = 5/13, cos(a) = sqrt(13^2-5^2)/13 = 12/13
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If sin(B) = 8/17, cos(B) = sqrt(17^2-8^2)/17 = 15/17
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sin(a-B) = sin(a)cos(B)-cos(a)sin(B) = (5/13)(15/17)-(12/13)(8/17)
= -21/221
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Cheers,
Stan H.
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