Determine whether `f(x)=-x/2+sinx` is increasing or decreasing on `(-pi/3,pi/3)dot`

Determine whether f(x)=-x/2+sin x is increasing or decreasing on (-pi/3,pi/3)

Show that f(x)=log sin x is increasing on (0,pi/2) and decreasing on (pi/2,pi).

Determine whether the following function is increasing or decreasing in the given interval : f(x) =cos (2x+(pi)/(4)), (3pi)/(8) le x le (5pi)/(8) .

Determine whether the following function is increasing or decreasing in the given interval : f(X) = cos (2x + (pi)/(4)), (3pi)/(8)lexle(5pi)/(8) .

Prove that the function f given by f(x) = log sinx, is increasing on (0,pi/2) and decreasing on (pi/2, pi) .

Show that f(x)=sin x is increasing on (0,pi/2) and decreasing on (pi/2,pi) and neither increasing nor decreasing in (0,pi)

Show that f(x)=sinx is an increasing function on (-pi//2,\ pi//2) .

Show that f(x)=sinx is increasing on (0,\ pi//2) and decreasing on (pi//2,\ pi) and neither increasing nor decreasing in (0,\ pi) .

Show that f(x)=cosx is decreasing function on (0,pi), increasing in (-pi,0) and neither increasing nor decreasing in (-pi,pi)dot

Show that f(x)=cos(2x+pi/4) is an increasing function on (3pi//8,7pi//8)dot