Question

prove that tan2x=2tanx/1-tan²x

Answer 1

Here is your answer

Answer 2

$LHS = tan 2x \\= tan ( x + x ) \\= \frac{tan x + tan x }{ 1 - tan x \times tan x }$

$\boxed { \pink {tan (A+B) = \frac{tan A + tan B}{ 1 - tan A tan B }}}$

$= \frac{ 2tan x }{ 1 - tan^{2} x } \\= RHS$

Therefore.,

$\red { tan 2x } \green { = \frac{ 2tan x }{ 1 - tan^{2} x } }$

•••♪