Question

if tan x=2 then tan 2x=?​

Answer 1

$\star\:\:\:\sf\large\underline\blue{Answer:-}$

Given,

$\sf \tan(x) = 2$

So,

$\sf \tan(2x) = \frac{2 \tan(x) }{1 - { \tan}^{2}(x) }$

$\sf = \frac{4}{1 - 4}$

$\sf = \frac{ - 4}{3}$

Answer 2

IF tan x = 2 , then , tan 2x = ?

$\tan( \alpha + \beta ) = \frac{ \tan( \alpha ) + \tan( \beta ) }{1 - \tan( \alpha ) \tan( \beta ) }$

SIMILARLY ,

=> tan 2x = tan ( x + x ) =

(tan x + tan x ) / ( 1 - tan x • tan x )

=> tan 2x = ( 2 + 2 ) / ( 1 - 2×2 )

=> tan 2x = 4 / ( 1 - 4 ) = 4/-3 = -4/3

SO , answer to your question is -4/3 .