" 4."sin^(3)x

y=sin^(-1)(3sin x-4sin^(3)x)" ,then "(dy)/(dx) at x= (sqrt(3))/(2) is

Evaluate the following limit: (lim)_(x rarr0)(3s in x-4sin^(3)x)/(x)

lim_(x rarr0)(3sin x-4sin^(3)x)/(x)

The length of the longest interval,in which the function 3sin x-4sin^(3)x is increasing is

The general solution satisfying the trigonometricequations 4sin^(3)x+1=sin x(1+4sin x) and cos3x=3-4cos^(2)x is given by

The function f(x) =4sin^(3)x-6sin^(2)x +12 sinx + 100 is strictly

The function f(x) =4sin^(3)x-6sin^(2)x +12 sinx + 100 is strictly

[ Number of solution of 4sin^(3)x-4sin^(2)x-sin(pi-x)+1=0;x in[0,pi]; is [ (1) 1, (2) 2 (3) 3, (4) 4]]

sin4x=4sin x cos^(3)x-4cos x sin^(3)x

Prove that : sin3x=3sinx-4sin^(3)x