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anna7ta7ia
@anna7ta7ia
July 2022
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Преобразуйте в произведение: cos2a+cos14a+cos6a+cos10a
Просьба написать подробное решение! Огромное спасибо!!!
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DedushkaBake
По формуле cosa+cosb=2cos(a+b)/2cos(a-b)/2
=(cos14a+cos10a)+(cos6a+cos2a)=
2cos12a*cos2a+2cos4acos2a=2cos2a(cos12a+cos4a)
2 votes
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Answers & Comments
=(cos14a+cos10a)+(cos6a+cos2a)=
2cos12a*cos2a+2cos4acos2a=2cos2a(cos12a+cos4a)