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(tan(pi/4+x))/(tan(pi/4-x)) = ((1+tanx)/...

`(tan(pi/4+x))/(tan(pi/4-x)) = ((1+tanx)/(1-tanx))^(2)`

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Prove that (tan((pi)/(4)+x))/(tan((pi)/(4)-x))=((1+tan x)/(1-tan x))^(2)

Prove that: (tan((pi)/(4)+x))/(tan((pi)/(4)-x))=((1+tan x)/(1-tan x))^(2)

(tan((pi)/(4)+x))/(tan((pi)/(4)-x))=((1+tan x)/(1-tan x))^(2)

(1-tan^2(pi/4))/(1+tan^2(pi/4))=?

int_(-pi//4)^0 (1+tanx)/(1-tanx) dx

" tan " ((pi)/(4) +x) =(1 + tan x)/(1-tan x)

" tan " ((pi)/(4) -x) =(1 - tan x)/( 1+ tan x)

Solve: tan(pi/4+x)+tan(pi/4-x)=2

tan4x = (4tanx (1-tan^2x))/(1-6tan^2x+tan^4x)

tan x+(tan((pi)/(4))+tan x)/(1-tan((pi)/(4))tan x)=2

AAKASH INSTITUTE-TRIGNOMETRIC FUNCTIONS -Try Yourself
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  3. (tan(pi/4+x))/(tan(pi/4-x)) = ((1+tanx)/(1-tanx))^(2)

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