16 \cos(20) \cos(40) \cos(60) \cos(80) = 1. Created by Іван0202. algebra-ru

16 \cos(20) \cos(40) \cos(60) \cos(80) = 1...

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16 \cos(20) \cos(40) \cos(60) \cos(80) = 1

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rinatovichvi 16 cos20 cos40 cos60 cos80=8 cos20cos40cos80=8cos20cos40cos80sin20/sin20=4sin40cos40cos80/sin20=2sin80cos80/sin20= sin160/sim20=sin(180-20)/sin20=sin20/sin20=1соs60=1/2

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