Question

(sina+sinb) / (csca+cscb) = sinasinb

Answer 1

\[To~~Prove: ~~\frac{\sin a + \sin b}{\csc a + \csc b} = \sin a + \sin b\]
\[LHS = \frac{\sin a + \sin b}{\csc a + \csc b} = \frac{\sin a + \sin b}{\frac{1}{\sin a} + \frac{1}{\sin b}} = \frac{\sin a + \sin b}{\frac{\sin a + \sin b}{\sin a~ .~ \sin b}} = \sin a ~.~\sin b = RHS\]
\[Q.E.D.\]

Answer 2

Thank you so much!!!

Answer 3

Welcome to OpenStudy! :)