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[" Tan "^(-1)(cot x)-tan^(-1)(cot2x)=],[...

[" Tan "^(-1)(cot x)-tan^(-1)(cot2x)=],[[" 1) "2x," 2) "x," 3) "3x," 4) "x/2]]

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Tan^(-1)(cotx)-Tan^(-1)(cot2x)=

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

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

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

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

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

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

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

Prove that tan(cot^(-1)x)=cot(tan^(-1)x)