tex] Вычислить cost, ctgt...

June 2022 1 23 Report

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Известно, что sint=[tex] \frac{4}{5} , \frac{ \pi }{2} \ \textless \ t\ \textless \ \pi [/tex] Вычислить cost, ctgt.

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dtnth

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$\frac{\pi}{2}$ => $cos t$

$sin^2 t+cos^2 t=1$

$cos t=-\sqrt{1-sin^2 t}=-\sqrt{1-(\frac{4}{5})^2}=-\frac{3}{5}$

$ctg t=\frac{cos t}{sin t}=\frac{-3}{5}:\frac{4}{5}=-\frac{3}{4}$

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