Show that `((1+tan ^(2) A) /(1+cot ^(2) A ) ) =((1- tan A )/( 1-cot A ))^(2)= tan ^(2) A `

Show that (1- tan ^(2) A ) /( cot ^(2) A-1) =tan ^(2) A

Prove that, ( 1-tan^2A) / (cot^2A-1) = tan^2A

tan ^(-1) cot 320^(@)

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

Show that sin (cot^(-1) (tan cos^(-1)x)) =x

Show that, ((1-tantheta)/(1-cottheta))^2=(1+tan^2theta)/(1+cot^2theta).

The value of cosec ^(2) theta cot ^(2) theta - sec ^(2) theta tan ^(2) theta -(cot ^(2) theta- tan ^(2) theta) (sec ^(2) theta cosec ^(2) theta -1) is-

Solve tan^(-1) x + cot^(-1) (-|x|) = 2 tan^(-1) 6x

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

Show that Sec^2 (cot^-1(2)) + cosec^2(tan^-1 (3)) = 2 13/36