SOLUTION: sin (A-B) / sin (A+B) = 5/7, show tan A = h tanB, Find h

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Question 1019506: sin (A-B) / sin (A+B) = 5/7, show tan A = h tanB, Find h
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!

after dividing both numerator and denominator by cosA*cosB
Now from the original equation we have
%28tanA+-+tanB%29%2F%28tanA+%2B+tanB%29+=+5%2F7
Cross-multiply and simplify, giving
7tanA -7tanB = 5tanA + 5tanB
==> 2tanA = 12tanB
==> tanA = 6tanB
the problem is solved, and h = 6.