On the interval `(0,(pi)/2)` the function `log sinx` is

On the interval (pi/4,pi/2) , the function tan^-1 (sinx + cos x) is

Consider the following statements : 1. The function f(x)=sinx decreases on the interval (0,pi//2) . 2. The function f(x)=cosx increases on the interval (0,pi//2) . Which of the above statements is/are correct ?

In the interval (0,pi), f(x)=sinx-x is

Find the interval in which the function f(x)=sinx+cosx, 0lexle2pi is strictly increasing or strictly decreasing.

Find the intervals in which the function f given by f(x) = sinx + cosx, 0lexle2pi is increasing

The length of the longest interval in which the function y=sin2x-2sinx increases for x in [0, pi] is

The length of the longest interval in which the function y=sin2x-2sinx increases for x in [0, pi] is

Show that the function f(x) = log (sin x) (i) is strictly increasing in the interval ]0,pi/2[ . (ii) is strictly decreasing in the interval ]pi/2,pi[ .

Find the intervals in which the following functions are increasing or decreasing : sinx + cos x, 0 le x le 2 pi

Find the interval where the following function is increasing: y=sinx+cosx , x epsilon [0,2pi].