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

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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)(sinx+cosx) is an increasing function on the interval (0,\ pi//4) .

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

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)(sin x+cos x) is decreasing function on the interval ((pi)/(4),(pi)/(2))

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

Show that f(x)=sinx-cosx is an increasing function on (-pi//4,\ pi//4) .

f(x) = tan^-1(sinx+cosx) is strictly decreasing function on (pi/4,pi/2)

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