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Infinity167
@Infinity167
June 2022
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система уравнений
cos(x-y)=1/2
cos(x+y)=0
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iosiffinikov
Два решения:
х-у=пи/3+2*пи*к х-у=-пи/3+2*пи*к
х+у=пи/2+пи*н х+у=пи/2+пи*н
------------------------- ___________________
2х=5пи/6+пи*(2*к+н) 2х=пи/6+пи*(2*к+н)
х=5пи/12+пи*(2*к+н)/2 х=пи/12+пи*(2*к+н)/2
у=3пи/2+пи*к+н/2 у=11/12пи+пи*к+н/2
к и н -любые целые
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Answers & Comments
х-у=пи/3+2*пи*к х-у=-пи/3+2*пи*к
х+у=пи/2+пи*н х+у=пи/2+пи*н
------------------------- ___________________
2х=5пи/6+пи*(2*к+н) 2х=пи/6+пи*(2*к+н)
х=5пи/12+пи*(2*к+н)/2 х=пи/12+пи*(2*к+н)/2
у=3пи/2+пи*к+н/2 у=11/12пи+пи*к+н/2
к и н -любые целые