The length of the longest interval in which the function `3sinx-4sin^3x` is increasing is `pi/3` (b) `pi/2` (c) `(3pi)/2` (d) `pi`

The length of the largest continuous interval in which the function f(x)=4x-tan2x is monotonic is pi/2 (b) pi/4 (c) pi/8 (d) pi/(16)

On which of the following intervals is the function x^(100)+sinx-1 decreasing? (a) (0,pi/2) (b) (0,1) (c) (pi/2,pi) (d) none of these

In triangle ABC, angle A is greater than angle B. If the measure of angles A and B satisfy the equation 3sinx-4sin^3x-k=0 . (A) pi/3 (B) pi/2 (C) (2pi)/3 (D) (5pi)/6

The value of c in Lagranges theorem for the function f(x)=logsinx in the interval [pi/6,(5pi)/6] is (a) pi/4 (b) pi/2 (c) (2pi)/3 (d) none of these

The smallest positive x satisfying the equation (log)_(cosx)sinx+(log)_(sinx)cosx=2 is pi/2 (b) pi/3 (c) pi/4 (d) pi/6

Find intervals in which the function given by f (x) = sin 3x , x in [0,(pi)/(2)] is (a) increasing (b) decreasing.

The values of x_1 between 0 and 2pi , satisfying the equation cos3x+cos2x=sin(3x)/2+sinx/2 are pi/7 (b) (5pi)/7 (c) (9pi)/7 (d) (13pi)/7

int_0^pi(xtanx)/(secx+cosx)dxi s (pi^2)/4 (b) (pi^2)/2 (c) (3pi^2)/2 (d) (pi^2)/3

The set of all x in the interval [0,pi] for which 2sin^2x-3sinx+1geq0 is______

Separate the intervals of monotonocity of the function: f(x)=-sin^3x+3sin^2x+5,x in [-pi/2,pi/2]dot