(sin^2 5п/3) / (sin^2 5п/4). Created by deanonm. algebra-ru

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deanonm @deanonm

July 2022 1 2 Report

(sin^2 5п/3) / (sin^2 5п/4)

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kirichekov

Verified answer

$\frac{ sin^{2} \frac{5 \pi }{3} }{ sin^{ \frac{5 \pi }{4} } } =( \frac{sin \frac{5 \pi }{3} }{sin \frac{5 \pi }{4} } ) ^{2} =( \frac{sin \frac{(6 \pi }{3}- \frac{ \pi }{3}) }{sin( \frac{4 \pi }{4}+ \frac{ \pi }{4} )} ) ^{2} =( \frac{sin(2 \pi - \frac{ \pi }{3})}{sin( \pi + \frac{ \pi }{4} )} ) ^{2} =( \frac{-sin \frac{ \pi }{3} }{-sin \frac{ \pi }{4} } ) ^{2} =$
$=( \frac{ \sqrt{3} }{2}: \frac{ \sqrt{2} }{2} ) ^{2} =( \frac{ \sqrt{3} }{ \sqrt{2} } ) ^{2} = \frac{3}{2} =1,5$

kirichekov букву А в числителе после 2-го знака равно НЕ ЧИТАТЬ! пропустила скобку ,потом добавила и А "выскочила" .

deanonm спасибо большое

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