tex]...

April 2021 1 34 Report

Среди приведенных величин положительной является:
1)sin[tex] \frac{ 4\pi }{3} [/tex]
2)cos[tex] \frac{ 14\pi }{15} [/tex]
3)tg[tex] \frac{ 8\pi }{9} [/tex]
4)cos[tex] \frac{ 9\pi }{8} [/tex]
5)sin[tex] \frac{ 4\pi }{5} [/tex]

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NNNLLL54

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$sin\frac{4\pi}{3}=sin(\pi +\frac{\pi}{3})=-sin\frac{\pi}{3}\ \textless \ 0\\\\cos\frac{14\pi}{15}=cos(\pi-\frac{\pi}{15})=-cos\frac{\pi}{15}\ \textless \ 0\\\\tg\frac{8\pi}{9}=tg(\pi-\frac{\pi}{9})=-tg\frac{\pi}{9}\ \textless \ 0\\\\cos\frac{9\pi}{8}=cos(\pi +\frac{\pi}{8})=-cos\frac{\pi}{8}\ \textless \ 0\\\\sin\frac{4\pi}{5}=sin(\pi-\frac{\pi}{5})=sin\frac{\pi}{5}\ \textgreater \ 0$

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