If ` 2 tan ^(-1) x = sin ^(-1) k` then the value of k is -

If k + 1 = sec^2A (1 - sin A) (1 + sin A), then the value of k is:

If int( 2^(x))/( sqrt( 1- 4^(x))) dx = k sin^(-1) ( 2^(x)) + C , then the value of k is

If int tan^(-1)x dx=xtan^(-1)x+k log(1+x^(2))+C , then the value of k is-

If sin^(-1)x+sin^(-1)y=pi and x=ky then find the value of (39)^(2k)+5^(k)

If k=cos^(4)[tan^(-1){sin(cot^(-1)5)}] , then the value of 27sqrt(k)-17 is :

If (d)/(dx)(tan^(-1)x)^(2)=k tan^(-1)x*(1)/(1+x^(2)) , then the value of k is -

if int dx/(4 + 5sin^(2)x)=1/k tan^(-1)(3/2tanx)+c, then the value of k is -

If "Sec"^(-1)1/(sqrt(1-x^(2)))+"Cot"^(-1)(sqrt(1-x^(2)))/x=Sin^(-1)k , then the value of k is

In a DeltaA B C ,1/(1+tan^2(A/2))+1/(1+tan^2(B/2))+1/(1+tan^2(C/2)) = k [1+sin(A/2) sin(B/2) sin(C/2)], then the value of k is