Доказать тождество cos^2 a - sin^2 a / cos a - sin a - tg a * cos a = cos a. Created by E97M. algebra-ru

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cos a - sin a - tg a * cos a = cos a...

E97M @E97M

July 2022 1 6 Report

Доказать тождество
cos^2 a - sin^2 a / cos a - sin a - tg a * cos a = cos a

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Alexаndr

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Скобок нету...решай как хочу...
$\frac{cos^2a-sin^2a}{cosa-sina}-tga*cosa=cosa\\\frac{(cosa-sina)(cosa+sina)}{cosa-sina}-\frac{sina}{cosa}*cosa=cosa\\cosa+sina-sina=cosa\\cosa=cosa$
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