Given that `(1+sqrt(1+x))tany=1+sqrt(1-x)` . Then `sin4y` is equal to (a)`4x` (b) `2x` (c) `x` (d) none of these

Let (1+sqrt(1+x))tany=1+sqrt(1-x) . Then sin 4y is equal to

If (1+sqrt(1+x))tanx=1+sqrt(1-x), then sin 4x is equal to

Given that (1+sqrt(1+x))tan y=1+sqrt(1-x) Then sin4y is equal to (a)4x(b)2x(c)x(d) none of these

If y=(sin^(-1)x)^2,\ then (1-x^2)y_2 is equal to x y_1+2 (b) x y_1-2 (c) x y_1+2 (d) none of these

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

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

("lim")_(xvec2)(((x^3-4x)/(x^3-8))^(-1)-((x+sqrt(2x))/(x-2)-(sqrt(2))/(sqrt(x)-sqrt(2)))^(-1))i se q u a lto a) 1/2 (b) 2 (c) 1 (d) none of these

The area {(x,y);x^(2)<=y<=sqrt(x)} is equal to (1)/(3) b.(2)/(3) c.(1)/(6) d.none of these