Show that f(x) = tan–1(sin x + cos x) is an increasing function in (0, π/4). contexto.140 3 years ago Given, DIFFERENTIATING the two sides w.r.t. x, we got Hence, the given capacity f(x) is an expanding capacity in
![\[f\left( x \right)\text{ }=\text{ }tan1\left( sin\text{ }x\text{ }+\text{ }cos\text{ }x \right)\text{ }in\text{ }\left( 0,\text{ }\pi /4 \right).\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-a8b230de163ee3185680e46235f090f9_l3.png "Rendered by QuickLaTeX.com")
![\[\left( 0,\text{ }\pi /4 \right).\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-a479fc91e3ee7dcb6f0fd614eb9796ac_l3.png "Rendered by QuickLaTeX.com")
