[" (1) ' The value of sin col tan cus "^(-1)" x is equal to "],[qquad [" 1.1) "x," is "(pi)/(2)]]

sin(tan^-1x), |x|<1 is equal to :

The value of lim_(x rarr0)(sin^(-1)(2x)-tan^(-1)x)/(sin x) is equal to:

The value of int_(0)^(1)sin[2tan^(-1)sqrt((1+x)/(1-x))]dx is equal to -

The value of int_(-pi//2)^(pi//2)(x^(2)+x cosx+tan^(5)x+1)dx is equal to

The value of int_(-pi//2)^(pi//2)(x^(2)+x cosx+tan^(5)x+1)dx is equal to

The value of lim_(x rarr1)((4)/(pi)tan^(-1)x)^(1/(x^(2)-1)) equal to

If tan^(-1)x+sin^(-1)x=-(2 pi)/(3) then the value of cos^(-1)x+cot^(-1)x is equal to

Number of values of x satisfying simultaneously sin^(-1) x = 2 tan^(-1) x " and " tan^(-1) sqrt(x(x-1)) + cosec^(-1) sqrt(1 + x - x^(2)) = pi/2 , is