(√(sin(x))) ∙ cos(x)


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Question Number 146961 by mathdanisur last updated on 16/Jul/21

$\sqrt{s i n (x)} \cdot c o s (x) < 0$
	Answered by TheHoneyCat last updated on 16/Jul/21

	$this expression_{^{″} {\sqrt{}}^{″}} requires that s i n (x) > 0$ $thus c o s (x) < 0$ $s i n (x) > 0 \Leftrightarrow x \in \underset{k \in Z}{\cup}] 2 k π, (2 k + 1) π [$ $c o s (x) < 0 \Leftrightarrow x \in \underset{k \in Z}{\cup}] (2 k -^{1} /_{2}) π, (2 k +^{1} /_{2}) π [$
	Commented by TheHoneyCat last updated on 16/Jul/21

	$t h u s x \in \underset{k \in Z}{\cup}] 2 k π, (2 k +^{1} /_{2}) π [$
	Commented by TheHoneyCat last updated on 16/Jul/21

	$o r x \in] 0, \frac{π}{2} [i f y o u w a n t t h e c a n o n i c a l a n g l e$
	Commented by mathdanisur last updated on 16/Jul/21

	$t h a n k y o u S e r$
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