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[" 17.Show that the function "f(x)=cot^(...

[" 17.Show that the function "f(x)=cot^(-1)(sin x+cos x)" is decreasing on "(0,pi/4)" and incees "],[(pi/4,pi/2).]

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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 the function f(x)=cot^(-1)(sinx+cosx) is decreasing on (0,\ pi//4) and increasing on (pi//4,\ pi//2) .

Show that the function f(x)=sin(2x+pi//4) is decreasing on (3pi//8,\ 5pi//8) .

Show that the function f(x)=sin(2x+pi/4) is decreasing on (3 pi/8,5 pi/8)

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

Show that function f(x)=sin(2x+pi/4) is decreasing on ((3pi)/8,(5pi)/8)dot

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 on the interval (0,pi/4)