Задание 14.2

Question

$^{\circ}$ Упростите выражение:
1) $\cos \left(\frac{3 \pi}{2}+\alpha\right)$
2) $\cos (\pi-\alpha)$
3) $\sin \left(180^{\circ}+\alpha\right)$
4) $\sin ^{2}\left(\frac{5 \pi}{2}+\alpha\right)$.

Gimli · Accepted Answer

\begin{enumerate}
\item $$\cos \left(\frac{3 \pi}{2}+\alpha\right)=\sin \alpha;$$
\item $$\cos(\pi -\alpha) =-\cos \alpha;$$
\item $$\sin (180+\alpha)=-\sin \alpha ;$$
\item $$\sin ^{2}\left(\frac{5 \pi}{2}+\alpha\right)=\left(\sin \left(\frac{5 \pi}{2}+\alpha\right)\right)^{2}=\left(\sin \left(\frac{\pi}{2}+\alpha\right)\right)^{2}=\cos ^{2} \alpha$$
\end{enumerate}

Задание 14.2

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Задание 14.2

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