СРОЧНО АЛГЕБРА 2 ВАРИАНТ!!!. Created by matveynazarenko2017. algebra-ru

СРОЧНО АЛГЕБРА 2 ВАРИАНТ!!!...

matveynazarenko2017 @matveynazarenko2017

July 2022 1 5 Report

СРОЧНО АЛГЕБРА 2 ВАРИАНТ!!!

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$1)\ \ \ 2sin\dfrac{\pi}{8}\cdot cos\dfrac{\pi}{8}=sin\dfrac{\pi}{4}=\dfrac{\sqrt2}{2}\\\\\\2)\ \ (cos75^\circ -sin75^\circ )^2=\underbrace{cos^275^\circ +sin^275^\circ }_{=1}-2sin75^\circ \cdot cos75^\circ =1-sin150^\circ=\\\\1-sin(180^\circ -30^\circ )=1-sin30^\circ =1-0,5=0,5\\\\\\3)\ \ \dfrac{tg\frac{\pi}{8}}{1-tg^2\frac{\pi}{8}}=\dfrac{1}{2}\cdot \dfrac{2\, tg\frac{\pi}{8}}{1-tg^2\frac{\pi}{8}}=\dfrac{1}{2}\cdot tg\dfrac{\pi}{4}=\dfrac{1}{2}\cdot 1=\dfrac{1}{2}=0,5$

$4)\ \ cos^2a=cos2a=cos^2a-(cos^2a-sin^2a)=sin^2a\\\\\\5)\ \ sina=-\dfrac{4}{5}\\\\a\in (\, \pi \ ;\ \dfrac{3\pi}{2})\ \ \to \ \ \ sina$

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