Question

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

Answer 1

if \[\frac{\sin A}{\sin B} = p\]that means \[\sin A = p \sin B\]
if \[\frac{\cos A}{\cos B} = q\]that means \[\cos A = q\cos B\]
so \[\tan A = \frac{\sin A}{\cos A} = \frac{p\sin B}{q\sin B} \implies \frac {p \tan B}{q}\]
does that help?

Answer 2

uhh that should be \[\tan A = \frac{\sin A}{\cos A} = \frac{p\sin B}{q\cos B} \implies \frac{p\tan B}{q}\]
in the last line

Answer 3

@kush are you still there?

Answer 4

Gud ans @lgbasallote