athenaelaine athenaelaine

05-05-2022
Mathematics

contestada

tan2x=___

A. tan x/1+tan^2 x
B. tan x/1-tan^2 x
C. 2tan x/1-tan^2 x
D. 2tan x/1+tan^2 x

Respuesta :

theliferacer1111 theliferacer1111

05-05-2022

Step-by-step explanation:

tan2x = sin2x/cos2x

we know that ,

sin2x = 2sinxcosx
sin2x = 2sinxcosx cos2x = cos²x - sin²x

Since, tan2x = 2sinx*cosx/cos²x- sin²x

Dividing by cos²x in numerator and denominator.

We get ,

tan2x = 2sinx/cosx / 1- sin²x/cos²x

Since, we get tan2x= 2tanx/1-tan²x

Option (c) is correct option.

Hope it will be helpful

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