Задание 9.1

Question

Вычислите значение выражения:
\begin{enumerate}
\item $2 \cos 0° + 3\sin 90°$
\item $\sin^2 60° + \cos^2 30°$;
\item $\sin 0 + tg \pi - \sin \frac{3\pi}{2}$;
\item $2\sin^2\frac{\pi}{4} + \cos^2\frac{\pi}{6}$.
\end{enumerate}

Gimli · Accepted Answer

\begin{enumerate}
\item $$2\cos 0° + 3\sin 90° = 2\cdot 1 + 3\cdot 1 = 5$$

\item $$\sin^2 60^{\circ} + \cos^2 30^{\circ} = \left( \begin{array}{rc1}{\frac{\sqrt{3}}{2}}\end{array}ight)^2 + \left( \begin{array}{rc1}{\frac{\sqrt{3}}{2}}\end{array}ight)^2 = \frac{3}{4}\cdot 3 = 1.5$$

\item $$\sin 0 + 	an\pi - \sin \frac{3\pi}{2} = 0 + 0 - \sin\frac{-\pi}{2} = \sin\frac{\pi}{2} = 1$$

\item $$2\sin^2	ext{ }\frac{\pi}{4} + \cos^2	ext{ } \frac{\pi}{6} = 2\cdot \frac{\sqrt{2}}{2} + \left( \begin{array}{rc1}{\frac{\sqrt{3}}{2}}\end{array}ight)^2 = \sqrt{2} + 0.75$$

\end{enumerate}

Задание 9.1

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Задание 9.1

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