=(1)/(sqrt((x)^(2)cot(x)))" for "

cot^(-1)sqrt(x)

cot^(-1)sqrt(x)

cot^(-1)(sqrt(1+x^2)-x)

int(1)/(sqrt(cosec^(2)x+cot^(2)x))dx=

int(1)/(sqrt(cosec^(2)x+cot^(2)x))dx=

If the value of the definite integral int ^(-1) ^(1) cos ^(-1) ((1)/(sqrt(1-x ^(2)))) . (cot ^(-1)""(x )/(sqrt (1-(x ^(2))^(|x|))))dx = (pi^(2)(sqrta-sqrtb))/(sqrtc) where a,b,c in N in their lowest from, then find the value of (a+b+c).

d/(dx){sec^(-1)""(1)/(sqrt(1-x^2))+cot^(-1)""(sqrt(1-x^2))/x} =

Express sin^(-1)x in terms of (i) cos^(-1)sqrt(1-x^(2)) (ii) "tan"^(-1)x/(sqrt(1-x^(2))) (iii) "cot"^(-1)(sqrt(1-x^(2)))/x

Express sin^(-1)x in terms of (i) cos^(-1)sqrt(1-x^(2)) (ii) "tan"^(-1)x/(sqrt(1-x^(2))) (iii) "cot"^(-1)(sqrt(1-x^(2)))/x