11. (97-10-54) Упростите выражение. Created by alinaabasova75. algebra-ru

11. (97-10-54) Упростите выражение...

alinaabasova75 @alinaabasova75

August 2022 1 14 Report

11. (97-10-54) Упростите выражение

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Universalka

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$\displaystyle\bf\\\frac{Cos18^\circ\cdot Cos28^\circ+Cos108^\circ\cdot Sin208^\circ }{Sin18^\circ\cdot Sin78^\circ+Sin108^\circ\cdot Sin168^\circ}=\\\\\\=\frac{Cos18^\circ\cdot Cos28^\circ+Cos(90^\circ+1 8^\circ)\cdot Sin(180^\circ+28^\circ) }{Sin18^\circ\cdot Sin78^\circ+Sin(90^\circ+18^\circ) \cdot Sin(90^\circ+78^\circ) }=$

$\displaystyle\bf\\=\frac{Cos18^\circ\cdot Cos28^\circ+Sin18^\circ\cdot Sin28^\circ }{Sin18^\circ\cdot Sin78^\circ+Cos18^\circ\cdot Cos78^\circ}=\frac{Cos(18^\circ-28^\circ) }{Cos(18^\circ-78^\circ)} =\\\\\\=\frac{Cos10^\circ}{Cos60^\circ }=\frac{Cos10^\circ }{\frac{1}{2} } =2Cos10^\circ$

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chelovekrubik Помогите пожалуйста https://znanija.com/task/48281312

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