`sin^-1 xgtcos^-1x` holds for
(A) all value of x
(B) `x epsilon (0, 1/sqrt(2))`
(C) `xepsilon ( 1/sqrt(2),1)`
(D) `x=0.75`

If 4\ cos^(-1)x+sin^(-1)x=pi , then the value of x is (a) 3/2 (b) 1/(sqrt(2)) (c) (sqrt(3))/2 (d) 2/(sqrt(3))

The trigonometric equation sin^(-1)x=2sin^(-1)a has a solution for all real values (b) |a|<1/a |a|lt=1/(sqrt(2)) (d) 1/2<|a|<1/(sqrt(2))

The trigonometric equation sin^(-1)x=2sin^(-1)a has a solution for all real values (b) |a|<1/a |a|lt=1/(sqrt(2)) (d) 1/2<|a|<1/(sqrt(2))

The inequality sqrt(x^((log)_2sqrt(x)))geq2 is satisfied by (A) only one value of x (B) x in (0,(1/4)] (C) x in [4,oo) (d) x in (1,2)

The solution of the inequality (log)_(1/2sin^(-1)x >(log)_(1//2)cos^(-1)x is x in [(0,1)/(sqrt(2))] (b) x in [1/(sqrt(2)),1] x in ((0,1)/(sqrt(2))) (d) none of these

The value of x=sqrt(2+sqrt(2+sqrt(2+...))) is (a) -1 (b) 1 (c) 2 (d) 3

If -1< x < 0 , then cos^(-1)x is equal to (a) sec^(-1)(1/ x) (b) pi-sin^(-1)sqrt(1+x^2) (c) pi+tan^(-1)(x/(sqrt(1-x^2))) (d) cot^(-1)(x/(sqrt(1-x^2))) .

If cos (sin^(-1)(2/sqrt(5)) + cos^(-1)x) = 0, then x is equal to A) 1/sqrt(5) B) (-2/sqrt(5)) C) (2/sqrt(5)) D) 1

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)

The inequality sqrt(x^((log)_2sqrt(x)))geq2 is satisfied (a) by only one value of x (b) x in (0,(1/4)) (c) x in [4,oo) (d) x in (1,2)