[" (6-10) If "sin^(-1)x+tan^(-1)x=y(-1

lim_ (x rarr0) (sin (tan x) -tan (sin x)) / (tan ^ (- 1) (sin ^ (- 1) x) -sin ^ (- 1) (tan ^ (- 1) x )) =

tan (sin ^(-1)x+sin ^(-1) y) +tan (cos^(-1)x+cos ^(-1)y)

Statement I sin ^(-1)(1/sqrte) gt tan^(-1)(1/sqrtpi) Statement II sin^(-1) x gt tan^(-1) y " for " x gt y , AA x, y in (0,1)

Statement I sin ^(-1)(1/sqrte) gt tan^(-1)(1/sqrtpi) Statement II sin^(-1) x gt tan^(-1) y " for " x gt y , AA x, y in (0,1)

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 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^(-1) x = tan^(-1)y m what is the value of (1)/(x^(2))-(1)/(y^(2)) ?

If int (1)/(cos^(6) x + sin^(6) x) dx = tan^(-1) f(x) + C then f(x) =

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