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pripekaterina
@pripekaterina
August 2022
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помогите!!! много балов даю
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mmb1
Verified answer
Cos(2arcsin(7/25))=1-2sin²(arcsin(7/25))=1-2*(49/225)=(225-98)/225=127/225
sin(arcsinx))=x -1<=x<=1
cos 2x=cos²x-sin²x=1-2sin²x
-------------------------------------------
arccos(cos(4)) 4>π заметим что cos(x)=-cos(x-π)
arccos(cosx))=x 0<=x<=π
arccos(-x)=π-arccos(x)
получаем
arccos(cos4)=arccos(-cos(4-π))=π-arccos(cos(4-π))=π-4+π=2π-4
10 votes
Thanks 23
mmb1
1-2*(49/625)=(625-98)/225=527/225
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Answers & Comments
Verified answer
Cos(2arcsin(7/25))=1-2sin²(arcsin(7/25))=1-2*(49/225)=(225-98)/225=127/225sin(arcsinx))=x -1<=x<=1
cos 2x=cos²x-sin²x=1-2sin²x
-------------------------------------------
arccos(cos(4)) 4>π заметим что cos(x)=-cos(x-π)
arccos(cosx))=x 0<=x<=π
arccos(-x)=π-arccos(x)
получаем
arccos(cos4)=arccos(-cos(4-π))=π-arccos(cos(4-π))=π-4+π=2π-4