Найдите значение выражения [tex]\frac{12}{5sin( \frac{23 \pi }{4} )cos( \frac{21 \pi }{4} )} [/tex]. Created by lisakaz. algebra-ru

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March 2022 1 22 Report

Найдите значение выражения
[tex]\frac{12}{5sin( \frac{23 \pi }{4} )cos( \frac{21 \pi }{4} )} [/tex]

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Lesben Sin(23π/4)=sin(24π/4-π/4=sin(-π/4)=-sin(π/4)=-(√2)/2
cos(21π/4)=cos(24π/4-3π/4)=cos(-3π/4)=cos(3π/4)=-(√2)/2
5sin(23π/4)cos(21π/4)=5(-√2/2)²=5/2
12/(5/2)=24/5
Otvet:24/5

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