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[" EXAMPLE 17.Show that "f(x)=tan^(-1)(s...

[" EXAMPLE 17.Show that "f(x)=tan^(-1)(sin x+cos x)" is a strictly increasing function in the "],[" interval "(0,(pi)/(4)).]

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

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Show that the function fgivenbyf(x)=tan^(-1)(sin x+cos x)x>0 is always an strictly increasing function in (0,(pi)/(4))

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

The function f(x)= tan^(-1) (sin x + cos x ), x gt 0 is always an increasing function on the interval-