Упростите выражения : 1)Arcsin(sin 1,2п)= 2)Arccos(cos 17п/5)=. Created by DianaDior. algebra-ru

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DianaDior @DianaDior

July 2022 1 0 Report

Упростите выражения :
1)Arcsin(sin 1,2п)=
2)Arccos(cos 17п/5)=

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NNNLLL54

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$1)\; arcsin(sin1,2\pi)=arcsin(sin\frac{6\pi}{5})=arcsin(sin(\pi +\frac{\pi}{5}))=\\\\=arcsin(-sin\frac{\pi}{5})=-arcsin(sin\frac{\pi}{5})=-\frac{\pi}{5}\\\\2)arccos(cos\frac{17\pi}{5})=arccos(cos(2\pi +\frac{7\pi}{5}))=arccos(cos(\frac{7\pi}{5})=\\\\=arccos(cos(\pi +\frac{2\pi}{5}))=arccos(-cos\frac{2\pi}{5})=\pi -arccos(cos\frac{2\pi}{5})=\\\\=\pi -\frac{2\pi}{5}=\frac{3\pi}{5}$

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DianaDior Вопрос : почему во второй строчке в скобках (-sin п/2)?

NNNLLL54 Во 2 строчке (-sin П/5), так как по формулам приведения sin(П+П/5)=-sinП/5

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kakuyu chast ekrana imeyushego razreshenie 1024 h 768 tochek zajmet izobrazhenie faj

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