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" The function "f(x)=tan^(-1)(sin x+cos ...

" The function "f(x)=tan^(-1)(sin x+cos x)" is an increasing function in "

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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)