Question

Prove the above question​

Answer 1

Using formula ,

$\tan(a + b) = \frac{tan \: a \: \: + \ \: \: tan \: b }{1 \: \: - \: \: tan \: a \: tan \: b \: }$

tan ( π/4 + x ) = ( tan π/4 + tan x ) / ( 1 - tan π/4 × tan x )

=> tan ( π/4 + x ) = ( 1 + tan x ) / ( 1 - tan x )

SINCE , tan ( π/4 ) = 1

Hence , Proved!