Show that the function f given by $f (x) = tan^{- 1} (sin x + cos x),$ $x > 0$ is always an strictly increasing function in $(0, \frac{π}{4})$ .

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Show that the function f given by

f (x) = tan^{- 1} (sin x + cos x),

x > 0

is always an strictly increasing function in

(0, \frac{π}{4})

6 mins ago

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Question Text

Show that the function f given by

f (x) = tan^{- 1} (sin x + cos x),

x > 0

is always an strictly increasing function in

(0, \frac{π}{4})

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