Question

Prove that,

$\boxed{\small{tan^{-1}\frac{2mn}{m^{2}-n^{2}}+tan^{-1}\frac{2pq}{p^{2}-q^{2}}=tan^{-1}\frac{2MN}{M^{2}-N^{2}}}}$ ,

where M = mp - nq , N = np + mq.​

Answer 1

$\huge \bf{ \fbox{ \mathfrak{ \red{answer}}}}$

Formula I Used

$\huge \tan^{ - 1}(x) + \tan^{ - 1}(y) = \tan^{ - 1}( \frac{x + y}{1 - xy} )$

$\huge \mathfrak {\underline{ \red{thanks}}}$

Answer 2

Hey friend

Here’s your answer

Hope it helps you

Thank you