" 14."tan^(-1)(cos sqrt(x))

What is the derivative of tan ^(-1)(cos sqrt(x)) .

int(sin x)/(3+4cos^(2)x)dx log(3+4cos^(2)x)+C(b)(1)/(2sqrt(3))tan^(-1)((cos x)/(sqrt(3)))+C(c)-(1)/(2sqrt(3))tan^(-1)((2backslash cos x)/(sqrt(3)))+C(d)(1)/(2sqrt(3))tan^(-1)((2backslash cos x)/(sqrt(3)))+C

If y=cot^(-1)(sqrt(cos"x"))-tan^(-1)(sqrt(cos"x")), prove that siny=tan^2x/2

If y=cot^(-1)(sqrt(cos"x"))-tan^(-1)(sqrt(cos"x")), prove that siny=tan^2x/2

If y=cot^(-1)(sqrt(cos x))-tan^(-1)(sqrt(cos x)), prove that sin y=tan^(2)(x)/(2)

int tan^(-1)( sqrt((1-cos2x)/(1+cos2x)))dx

Prove that tan^(-1) sqrt(x) =(1)/(2) cos^(-1) ((1-x)/(1+x)) , x in [0, 1]

prove that tan^(-1)(sqrt(x))=(1)/(2)cos^(-1)((1-x)/(1+x)),x in[0,1]

What is the differential co-efficient of "tan"^(-1)sqrt(1+x^2-1)/x with respect to tan^(-1)x

Prove that : "cos"^(-1) ((b+a "cos"x)/(a+b "cos"x)) =2"tan"^(-1)(sqrt((a-b)/(a+b)) "tan" x/2)