" 3.(i) " sec(tan^(-1)x)

Find the domain of (i) sec^(-1)(3x-1) (ii) sec^(-1)x-tan^(-1)x

Find the domain of sec^(-1)(3x-1) (ii) sec^(-1)x-tan^(-1)x

Find the domain of sec^(-1)(3x-1) (ii) sec^(-1)x-tan^(-1)x

Find the domain of sec^(-1)(3x-1) (ii) sec^(-1)x-tan^(-1)x

Evaluate: (i) cot((sin^(-1)3)/(4)+(sec^(-1)4)/(3))( ii) sin(tan^(-1)x+(tan^(-1)1)/(x)) for x<0

Evaluate: (i) cot(sin^(-1)(3/4)+sec^(-1)(4/3)) (ii) sin(tan^(-1)x+tan^(-1)(1/x)) for x<0

For any real number x ge 1 , the expression sec^(2)x ( tan^(-1)x) - tan^(2)x ( sec^(-1) x) is equal to

Lim_(x to pi) (1+sec^(3)x)/(tan^(2)x)

Evaluate: (i) int tan^(3)x sec^(2)xdx (ii) int tan x sec^(4)xdx

What is the simplified value of [ ((sec^(3)x - tan^(3)x ))/((sec x - tan x ))]-2 tan^(2)x - sec x tan x ?