Griffiths Ford
05/08/2024 · Middle School
тржнения Представьте в виде суммы синусов или косинусов. \( \begin{array}{ll}\text { а) } \sin 48^{\circ} \sin 22^{\circ} \text {; } & \text { в) } \sin 56^{\circ} \cos 18^{\circ} ; \\ \text { б) } \sin \frac{3 \pi}{12} \cos \frac{\pi}{8} & \text { г) } \cos \frac{\pi}{8} \cos \frac{5 \pi}{12}\end{array} \)
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\[
\begin{array}{ll}
\text{а)} & \sin 48^{\circ} \sin 22^{\circ} = \frac{1}{2} (\cos 26^{\circ} - \cos 70^{\circ}) \\
\text{б)} & \sin \frac{3\pi}{12} \cos \frac{\pi}{8} = \frac{1}{2} (\sin \frac{3\pi}{8} + \sin \frac{\pi}{8}) \\
\text{в)} & \sin 56^{\circ} \cos 18^{\circ} = \frac{1}{2} (\sin 74^{\circ} + \sin 38^{\circ}) \\
\text{г)} & \cos \frac{\pi}{8} \cos \frac{5\pi}{12} = \frac{1}{2} (\cos \frac{13\pi}{24} + \cos \frac{7\pi}{24})
\end{array}
\]
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