SOLUTION: Hi I really need help asap in this trigo problem! And my trigo test is coming soon and this is killing me Dx Anyway, this is the qns Given sin (A+B) / sin (A-B) = 2/3 Find

Algebra ->  Trigonometry-basics -> SOLUTION: Hi I really need help asap in this trigo problem! And my trigo test is coming soon and this is killing me Dx Anyway, this is the qns Given sin (A+B) / sin (A-B) = 2/3 Find      Log On


   



Question 843054: Hi I really need help asap in this trigo problem! And my trigo test is coming soon and this is killing me Dx
Anyway, this is the qns
Given sin (A+B) / sin (A-B) = 2/3
Find the value of tan A cot B.
Thank you so much for your reading this (:

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
sin(x + y) = sin x cosy + cos x sin y
sin(x - y) = sin x cosy - cos x sin y
Dividing Numerator and Denominator by cos(x)sin(y)
%28tan%28x%29cot%28y%29+%2B+1%29%2F%28tan%28x%29cot%28y%29+-+1%29+=+2%2F3 Cross Multiplying to solve for tan(x)cot(y)