" 12.Prove that ":tan(cot^(-1)a)=cot(tan^(-1)a)

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

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

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

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

Prove that tan(cot^-1x) = cot(tan^-1x) . State with reason whether the equality is valid for all values of x.

Prove that : 2 tan^(-1) (cosec tan^(-1) x - tan cot^(-1) x) = tan^(-1) x

Prove that : 2 tan^(-1) (cosec tan^(-1) x - tan cot^(-1) x) = tan^(-1) x

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

Prove that: tan^(-1)(1/2tan2A)+tan^(-1)(cotA)+tan^(-1)(cot^3A)=0

Prove that: tan^(-1)(x)=2tan^(-1)(cosec tan^(-1)x-tan cot^(-1)x)