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" 6."(tan x)/(1-cot x)+(cot x)/(1-tan x)...

" 6."(tan x)/(1-cot x)+(cot x)/(1-tan x)=(sec x cosec x+1)

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(tan x)/(1-cot x)-(cot x)/(1-tan x)=(sec x cos(x+1))

Prove that : (tan A)/ (1 - cot A) + (cot A)/ (1 - tan A) = sec A cosec A + 1

tan^(-1) (cot x) +cot^(-1)(tan x) =

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tan^(-1) (cot x) +cot^(-1)(tan x) =pi -2x

tan^(-1)(cot x)+cot^(-1)(tan x)

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Prove the following identity : (1 - tan x)^2+(1 -cot x)^2 = (sec x -cosec x)^2 .