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akhsem
@akhsem
July 2022
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cos^2a-1/3-3sin^2a помогите
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Answers & Comments
iosiffinikov
4cos^2(2a)-3-1/3=0
4cos^2(2a)=31/3
cos^2(2a)=10/12=5/6
cos(2a)=+-sqrt(5/6)
a=+-(arccos(sqrt(5(/6))/2+pi*k
a=+-(pi-arccos(sqrt(5(/6))/2+pi*k
k-любое целое
1 votes
Thanks 0
akhsem
спасибо )
iosiffinikov
Не за что. Ответ некрасивый. Может в условии что не так?
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Answers & Comments
4cos^2(2a)=31/3
cos^2(2a)=10/12=5/6
cos(2a)=+-sqrt(5/6)
a=+-(arccos(sqrt(5(/6))/2+pi*k
a=+-(pi-arccos(sqrt(5(/6))/2+pi*k
k-любое целое