20.cot sqrt(cos sqrt(x))

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

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

If y= sqrt(cos x) + sqrt (cos sqrt (x)),then (dy)/(dx)

prove that tan^(-1)((cos x)/(1-sin x))-cot^(-1)((sqrt(1+cos x))/(sqrt(1-cos x)))=(pi)/(4),x varepsilon(0,(pi)/(2))

If pi

If x in (pi, 2pi) , prove that ((sqrt(1+cosx))+(sqrt(1-cos x)))/((sqrt(1+cos x)) -sqrt(1-cos x)) = cot(pi/4 +x/2)

int_( then )^( If )sqrt(3cot^(2)x+4)dx=A ln sqrt(3)cot x+sqrt(4+3cot^(2)x)|-sin^(-1)((cos x)/(B))+C

" If "int(sqrt(cos2x))/(sin x)dx=-log|cot x+sqrt(cot^(2)x-1)|+A+c" Then "A" is equal to "

int_0^(pi//2) (sqrt( cot x))/(sqrt(cot x) - sqrt(tan x)) dx is :

Evaluate int_(0)^(pi//2) (sqrt(cot x))/(sqrt(cot x) + sqrt(tan x)) dx.