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vladvasko
@vladvasko
November 2021
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3+4cos4a+cos8a в произведение
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uekmyfhfp
Разложим косинус 8х как косинус двойного угла и подставим в выражение cos 8a= cos(2*4a) = 2cos^2(4a) - 1;
3+ 4 cos(4a) + 2 cos^2 (4a) - 1 = 2cos^2 (4a) + 4cos(4a) + 2= =2(cos^2(4a)+2 cos(4a) + 1)= 2(cos(4a) + 1)^2;
4 votes
Thanks 8
vladvasko
http://znanija.com/task/7756856 можешь еще это глянуть?
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Answers & Comments
3+ 4 cos(4a) + 2 cos^2 (4a) - 1 = 2cos^2 (4a) + 4cos(4a) + 2= =2(cos^2(4a)+2 cos(4a) + 1)= 2(cos(4a) + 1)^2;