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superdog258825
@superdog258825
August 2022
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Решите тригонометрическое уравнение 2cos(Пх-П)=корень 2
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tcorlak
3 votes
Thanks 3
Freakazoid
Verified answer
1)2cos(Пх-П)=√2
cos(πx-π)=√2/2
2)πx-π=π/4+2πn
πx-π=-π/4+2πn
3)πx=5π/4+2πn
πx=-3π/4+2πn
4)x=5/4+2n
x=-3/4+2n, где n Принадлежит целым числам
2 votes
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Answers & Comments
Verified answer
1)2cos(Пх-П)=√2cos(πx-π)=√2/2
2)πx-π=π/4+2πn
πx-π=-π/4+2πn
3)πx=5π/4+2πn
πx=-3π/4+2πn
4)x=5/4+2n
x=-3/4+2n, где n Принадлежит целым числам