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hamatnurowaalf
@hamatnurowaalf
July 2022
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Упростите выражение: 1+2cos(П/2-a)*cos(-a)
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Answers & Comments
nazktl98
1+2sina*cosa=cos^2+sin^2+2sinacosa=(sina+cosa)^2
7 votes
Thanks 5
Анатоле
1+2cos(p/2 - a)*cos(-a)
2cos(p/2-a) = 2sin(a)
cos(-a) = cos(a)
1+2cos(a)*sin(a) = sin(a)^2 + 2cos(a)sin(a) + cos(a)^2 = (cos(a)+sin(a))^2
Либо
1+2cos(a)*sin(a) = 1+sin(2a)
6 votes
Thanks 9
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Answers & Comments
2cos(p/2-a) = 2sin(a)
cos(-a) = cos(a)
1+2cos(a)*sin(a) = sin(a)^2 + 2cos(a)sin(a) + cos(a)^2 = (cos(a)+sin(a))^2
Либо
1+2cos(a)*sin(a) = 1+sin(2a)