Which of the following formulas define functions equal to `cos^2 (2x)` wherever defined ? (A)`1/(1+ tan^2(2x))`(B) `sin^2x. cot^2x` (C) `1/2(1+cos4x)` (D) `(csc^2 (2x)-1) /(csc^2 (2x))`

"cosec"^(-1)((1+x^(2))/(2x))

(d)/(dx)csc^(-1)((1+x^(2))/(2x))

2 tan^(-1) (cos x) = tan^(-1) (2 cosec x)

2 tan ^(-1) (Cos x) = tan ^(-1) (2 "cosec"x)

2tan^(-1)(cos x)=tan^(-1)(csc^(2)x), then x=

The differentiation of sin^(2)(x^(2)) with respect to cos^(2)(x^(2)) is (a) tan^2(x^2) (b) cot^2(x^2) (c) -1 (d) cosec(x^2)

Find the domain of the following following functions: (a) f(x)=(sin^(-1))/(x) (b) f(x)=sin^(-1)(|x-1|-2) (c ) f(x)=cos^(-1)(1+3x+2x^(2)) (d ) f(x)=(sin^(-1)(x-3))/(sqrt(9-x^(2))) (e ) f(x)="cos"^(-1)((6-3x)/(4))+"cosec"^(-1)((x-1)/(2)) (f) f(x)=sqrt("sec"^(-1)((2-|x|)/(4)))

d/(dx)[cosec^-1((1+x^2)/(2x))]=

Differentiate the following w.r.t. x : cosec^-1 (1/(4cos^3 2x-3 cos 2x))