2 piquad y=tan(sin^(-1)x)" an "dy

if y=tan(sin^(-1)x) then (dy)/(dx)

If (pi)/(2)<=x<=(3 pi)/(2) and y=sin^(-1)(sin x), find (dy)/(dx)

If y=sin^(-1)(sin x), then (dy)/(dx) at x=(pi)/(2) is

If y=sin^(-1)(sin x), then dy/dx at x =pi/2 is

If y="sec"(tan^(-1)x),t h e n (dy)/(dx) at x=1 is (a) cos(pi/4) (b) sin(pi/2) (c) sin(pi/6) (d) cos(pi/3)

If y=sec(tan^(-1)x), then (dy)/(dx)atx=1 is (a) (cos pi)/(4)(b)(sin pi)/(2)(c)(sin pi)/(6)(d)(cos pi)/(3)

If tan ^(-1) x + tan ^(-1) .sqrt( 1 - y^(2))/y = pi/3 " and sin^(-1) y - cos^(-1) ( x/(sqrt( 1 + x^(2)))) = (pi)/6 , then ( 5 sin^(-1) x)/( sin^(-1) y) is

If sin ^ (2) x + sin ^ (2) y <1; x, y in R then prove that sin ^ (- 1) (tan x.tan y) in (- (pi) / (2), ( pi) / (2))

If y="sec"(tan^(-1)x),t h e n(dy)/(dx)a tx=1 is (a) cos(pi/4) (b) sin(pi/2) (c) sin(pi/6) (d) cos(pi/3)

Find (dy)/(dx)" for "y=sin^(-1) (cos x), x in (0, pi)cup (pi, 2pi).