Упростите. [tex] ( \frac{sin16}{2 cos^{2} 4-2 sin^{2} 4} )^{2} + 4 sin^{2} 41 cos^{2}41[/tex]. Created by Yana4660. algebra-ru

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Yana4660 @Yana4660

August 2022 1 10 Report

Упростите.
[tex] ( \frac{sin16}{2 cos^{2} 4-2 sin^{2} 4} )^{2} + 4 sin^{2} 41 cos^{2}41[/tex]

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nafanya2014

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$( \frac{sin16}{2 cos^{2} 4-2 sin^{2} 4} )^{2} + 4 sin^{2} 41 cos^{2}41=( \frac{sin16}{2(cos^{2} 4- sin^{2} 4)} )^{2} + (2 sin 41 cos41)^2= \\ \\ =( \frac{2sin8cos8}{2cos8} )^{2} + (2 sin 41 cos41)^2= sin^28+sin^282=sin^8+cos^28=1
$

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