Задание 13.12

Question

$\DeclareMathOperator{	g}{tg}$
Вычислите значение выражения:
ewline
$$1)\quad \frac{2	g 75^{\circ}}{1 - 	g^2 75^{\circ}}; \qquad 2) \quad 2\sin \frac{3\pi}{8}\cos \frac{3\pi}{8}; \qquad 3) \quad 1 - 2\cos^2 \frac{\pi}{2}.$$

Gimli · Accepted Answer

\begin{enumerate}
\item $$\frac{2	g 75^{\circ}}{1 - 	g^2 75^{\circ}} = 	g 150^{\circ} = -\frac{\sqrt{3}}{3}$$
\item $$2\sin \frac{3\pi}{8}\cos \frac{3\pi}{8} = \sin \frac{3\pi}{4} = \frac{\sqrt{2}}{2}$$
\item $$1 - 2\cos^2 \frac{\pi}{2} = -\sin \pi = 0$$
\end{enumerate}

Задание 13.12

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Задание 13.12

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