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

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(sin^-1 (1/2)+ cos ^-1 (1/3)) is equal to (A) (sqrt(3)+sqrt(8)/6 (B) (1+2sqrt(6))/6 (C) - (1+2sqrt(6))/6 (D) 0

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

Let alpha = tan^-1 (1/2)+tan^-1(1/3) , beta=cos^-1(2/3)+cos^-1(sqrt5/3) , gamma=sin^-1(sin((2pi)/3))+1/2cos^-1(cos((2pi)/3)) cosalpha+cosbeta+cosgamma is equal to (A) (sqrt(2)-1)/2 (B) (sqrt(2)+1)/2 (C) (sqrt(2)+sqrt(3))/2 (D) ((sqrt(3)-sqrt(2))/2

The value of sin^-1 (sqrt(3)/2)+ sin^-1 (1/sqrt(2)) is equal to (A) sin^-1 ((sqrt(3+1))/(2sqrt(2))) (B) pi-sin^-1 ((sqrt(3+1))/(2sqrt(2))) (C) pi+sin^-1 ((sqrt(3+1))/(2sqrt(2))) (D) none of these

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))

In a ABC, if tan A:tan B:tan C=3:4:5 then the value of sin A sin B sin C is equal to (a) (2)/(sqrt(5)) (b) (2sqrt(5))/(7)(2sqrt(5))/(9) (d) (2)/(3sqrt(5))

3sqrt(4)+2sqrt(9)+5sqrt(4)-sqrt(1)-4sqrt(9)

A solution of sin^-1 (1) -sin^-1 (sqrt(3)/x^2)- pi/6 =0 is (A) x=-sqrt(2) (B) x=sqrt(2) (C) x=2 (D) x= 1/sqrt(2)

5sin x+4cos x=3rArr4sin x-5cos x= a) 4 b) 4sqrt(2) c) 3sqrt(2) d) sqrt(2)