the value of `cos(cos^-1x+sin^-1(x-2))` is equal to (A) 0 (B) 1 (C) -1 (D) `sqrt(1-x^2).sqrt(x^2-4x+3) +x (x-2)`

"tan"(cos^(-1)x) is equal to x/(1+x^2) b. (sqrt(1+x^2))/x c. (sqrt(1-x^2))/x d. sqrt(1-2x)

The value of sin(cot^-1x)= (A) sqrt(1+x^2) (B) x (C) (1+x^2)^(-3/2) (D) (1+x^2)^(-1/2)

("lim")_(xvecoo)(sin^4x-sin^2x+1)/(cos^4x-cos^2x+1) is equal to (a) 0 (b) 1 (c) 1/3 (d) 1/2

The derivative of cos^(-1)(2x^2-1) with respect to cos^(-1)x is (a) 2 (b) 1/(2sqrt(1-x^2)) (c) 2//x (d) 1-x^2

The value of intsqrt(1+secx)dx is equal to (A) 2sin^-1(sqrt(2)sin(x/2))+c (B) 2cos^-1(sqrt(2)sin(x/2))+c (C) 2sin^-1(sqrt(2)cos(x/2))+c (D) none of these

The value of lim_(x->1)(1-sqrt(x))/((cos^(-1)x)^2) is 4 (b) 1/2 (c) 2 (d) 1/4

sin(cot^(-1)(tan(cos^(-1)x))) is equal to a) x b) sqrt(1-x^2) c) 1/x d) none of these

If tan(cos^(-1)x)="sin"(cot^(-1)(1/2)) then x is equal to- a. 1/sqrt(5) b. 2/sqrt(5) c. 3/sqrt(5) d. sqrt(5)/3

Find the value of cos^(-1)(x)+cos^(-1)((x)/(2)+(sqrt(3-3x^(2)))/(2))

If x<0,t h e ntan^(-1)x is equal to -pi+cot^(-1)1/x (b) sin^(-1)x/(sqrt(1+x^2)) -cos^(-1)1/(sqrt(1+x^2)) (d) -cos e c^(-1)(sqrt(1+x^2))/x