If `sin^(-1)x+cot^(-1)(1/2)=pi/2,\ t h e n\ x` is `0` b. `1/(sqrt(5))` c. `2/(sqrt(5))` d. `(sqrt(3))/2`

If sin^(-1)x+cot^(-1)((1)/(2))=(pi)/(2), then x is 0b(1)/(sqrt(5))c*(2)/(sqrt(5))d*(sqrt(3))/(2)

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

If tan^(-1)x+2cot^(-1)x=(2 pi)/(3), then x, is equal to (a) (sqrt(3)-1)/(sqrt(3)+1) (b) 3 (c) sqrt(3)(d)sqrt(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

If sin^(-1)x-cos^(-1)x=pi/6 , then x= 1/2 (b) (sqrt(3))/2 (c) -1/2 (d) none of these

If tan^(-1)(a+x)/a+tan^(-1)(a-x)/a=pi/6,t h e nx^2= 2sqrt(3)a (b) sqrt(3)a (c) 2sqrt(3)a^2 (d) none of these

sin^(-1)(2x sqrt(1-x^(2)))=2sin^(-1)x is true if- x in[0,1] b.[-(1)/(sqrt(2)),(1)/(sqrt(2))] c.[-(1)/(2),(1)/(2)]d[-(sqrt(3))/(2),(sqrt(3))/(2)]

If sin^-1(1/3)+sin^-1 (2/3)= sin^-1 x then x is equal to (A) (4+sqrt(5)/9 (B) (4sqrt(2)+sqrt(5)/9 (C) (sqrt(3)+1)/6 (D) 1

d/(dx)(sin^(-1)x+cos^(-1)x) is equal to : (A) (1)/(sqrt(1-x^(2))), (B) (2)/(sqrt(1-x^(2))), (C) 0 (D) sqrt(1-x^(2))

If x=sqrt(5)+2, then x-(1)/(x) equals 2sqrt(5)(b)4 (c) 2 (d) sqrt(5)