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" 7."cosec^(-1)((1+tan^(2)x)/(2tan x))...

" 7."cosec^(-1)((1+tan^(2)x)/(2tan x))

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"cosec"^(-1)((1+tan^(2)x)/(2tanx))

cosec^(-1)((1+tan ^2x)/(2tanx))

cosec^(-1)((1+tan ^2x)/(2tanx))

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

sin "cosec"^(-1) cot (tan^(-1)x) =x

The number of real solutions of tan^(-1)sqrt(x^(2)+x)+ cosec^(-1)sqrt(1-x^(2)-x)=pi/2 is

The number of solution of the equation Tan^(-1) sqrt(x^(2)+x)+"Cosec"^(-1) sqrt(1-x^(2)-x)=(pi)/(2) is

If y =tan^(-1)(sinsqrt(x))+ "cosec"^(-1)(e^(2x+1)), " then " (dy)/(dx)=

(cosec x)/(log ("tan"(x)/(2)))

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