Question

If (sin A)/(sin B) = p and (cos A)/(cos B)=q , find tan A and tan B

Answer 1

the answer:
tan A = sin A) / cos A, but sin A)/(sin B) = p implies sin A = psin B, and 
cos A)/(cos B)=q implies cos A =q cos B
so  tan A =psin B /q cos B = p/q (tanB),so tanA = p/q tanB or tanB = q/p tanA