" 16.Show that "f(x)=tan^(-1)(sin x+cos x)" is decreasing in "(pi/4,pi/2)

Show that the function f(x)=cot^(-1)(sin x+cos x) is decreasing on (0,pi/4) and increasing on (pi/4,pi/2)

Show that f(x)=sin x-cos x is an increasing function on (-pi/4,pi/4)

Show that f(x)=tan^(-1)(sin x+cos x) is decreasing function on the interval ((pi)/(4),(pi)/(2))

Show that f(x)=tan^(-1)(sin x+cos x) is a decreasing function on the interval on (pi/4,pi/2).

Show that f(x)=tan^(-1)(sin x + cos x) is an increasing function in (0, (pi)/(4)) .

Show that f(x)=tan^(-1)(sin x+cos x) is an increasing function on the interval (0,pi/4)

Show that f(x)=tan^(-1)(sinx+cosx) is a decreasing function on the interval on (pi//4,\ pi//2) .

Show that f(x)=tan^(-1)(sinx+cosx) is decreasing function on the interval (pi/4,pi/2)dot

f(x) = sin x is a strictly decreasing in (pi/2,pi)