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igrekaprel2001
@igrekaprel2001
July 2022
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Упростите: y=(sin2x+sin6x)/cos2x
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mikael2
Y=(sin2x+sin6x)/cos2x используем ф-лу
sin(x)+sin(y) = 2·sin(½(x+y))·cos(½(x-y))
sin2x+sin6x=2sin(4x)*cos(2x)
y=2sin(4x)*cos(2x)/cos(2x)=2sin(4x)
2 votes
Thanks 1
igrekaprel2001
сори, я опечатался, там без «у». Ничего же?
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Answers & Comments
sin(x)+sin(y) = 2·sin(½(x+y))·cos(½(x-y))
sin2x+sin6x=2sin(4x)*cos(2x)
y=2sin(4x)*cos(2x)/cos(2x)=2sin(4x)