найди значение выражения tg(п+t), если известно, что sin(4п+t)=4/5, 0. Created by fff6427. matematika-ru

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найди значение выражения tg(п+t), если известно, что sin(4п+t)=4/5, 0

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$sin(4\pi +t)=sint=\frac{4}{5}\\\\00\\\\cost=+\sqrt{1-sin^2t}=\sqrt{1-\frac{16}{25}}=\sqrt{\frac{9}{25}}=\frac{3}{5}\\\\tg(\pi +t)=tgt=\frac{sint}{cost}=\frac{4/5}{3/5}=\frac{4}{3}$

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