`sec(tan^(-1)(-(y)/(3)))` is equal to

(tan^(-1)(sqrt3)-sec^(-1)(-2))/(cosec^(-1)(-sqrt2)+cos^(-1)(-(1)/(2))) is equal to

tan^(-1)x+tan^(-1)y is equal to

Find the value of sec(tan^(-1)((y)/(2)))

tan^(-1)sqrt(3)-sec^(-1)(-2) is equal to (a) (B) (B) (C) (D) quad (2 pi)/(3)

sec^(2) (tan^(-1) 2) + cosec^(2) (cot^(-1) 3) is equal to

lim_(x rarr0)((x+y)sec(x+y)-x sec x)/(y) is equal to sec x(x tan x+1)(b)x tan x+sec xx sec x+tan x(d) none of these