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Гость[latex]1)\; \; tg(-\frac{3\pi}{5})=tg(-\frac{3\pi}{5}+\pi)=tg\frac{2\pi}{5}\; ,\; \; \frac{2\pi}{5}\in (-\frac{\pi}{2};\frac{\pi}{2})\; \to \\\\arctg(tg(-\frac{3\pi}{5}))=arctg(tg\frac{2\pi}{5})=\frac{2\pi}{5}\\\\2)\; \; ctg(-\frac{3\pi}{5})=ctg\frac{2\pi}{5}\; ,\; \; \frac{2\pi}{5}\in (-\frac{\pi}{2};\frac{\pi}{2})\to \\\\arcctg(ctg(-\frac{3\pi}{5}))=arcctg(ctg\frac{2\pi}{5})=\frac{2\pi}{5}\\\\3)\; \; arcctg(tg(-\frac{3\pi}{5}))+arcctg(ctg(-\frac{3\pi}{5}))=\frac{2\pi}{5}+\frac{2\pi}{5}=\frac{4\pi}{5}[/latex]
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