f(x)=tan^(-1)(sin x+cos x),x>0 pi7sin pi sin(0,(pi)/(4))

Prove that f(x)=tan ^(-1)(sin x + cos x ),x gt 0 f(0,pi/4) is increasing function

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

The function f(x)=tan^(-1)(sin x+cos x) is an increasing function in (-(pi)/(2),(pi)/(4))(b)(0,(pi)/(2))(-(pi)/(2),(pi)/(2))(d)((pi)/(4),(pi)/(2))

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

Let the function f(x) = tan^(1-) (sin x + cos x) be defined on [ 0, 2 pi] Then f(x) is

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 decreasing function on the interval ((pi)/(4),(pi)/(2))

f(x)=int x^(sin x)(1+x cos x*ln x+sin x)dx and f((pi)/(2))=(pi^(2))/(4) Then the value of |cos(f(pi))| is