1. Найти тангенс а 2. Вычислить. Created by AlexandraRen. algebra-ru

1. Найти тангенс а 2. Вычислить...

nat59gut81

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Ответ:

Объяснение: 1 + tg^2 α = 1

/cos^2 α

1 + tg^2 α = 25/16 tg^2 α = 25/16-16/16=9/16 tgα=3/4 tgα>0 в 1 чет.

∜32 :∜4=∜4*8:∜4=∜4*∜8:∜4=∜8

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Universalka

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$1)1+tg^{2}\alpha=\frac{1}{Cos^{2}\alpha}\\\\tg^{2}\alpha =\frac{1}{Cos^{2}\alpha}-1=\frac{1}{(\frac{4}{5})^{2}} -1=\frac{25}{16}-1=\frac{9}{16}\\\\tg\alpha=\sqrt{\frac{9}{16}}=\frac{3}{4}=0,75$

$2)\sqrt[4]{32}:\sqrt[4]{4}=\sqrt[4]{\frac{32}{4}}=\sqrt[4]{8}$

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