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maree
@maree
June 2021
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nKrynka
Решение
√6 * [cos14° * sin31° + cos(90° - 14°) * cos31°] /
/ [sin87° * sin(90° - 27°) - sin(90° + 87°) * sin27°] =
= √6 * [cos14° * sin31° + sin14° * cos31°] /
/ [sin87° * cos27° - cos87° * sin27°] =
= √6 * [sin(14° + 31°)] / [sin(87° - 27°)] =
= √6 * sin45° / sin60° = [(√6*√2)/2] / (√3/2) = 2
=
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Answers & Comments
√6 * [cos14° * sin31° + cos(90° - 14°) * cos31°] /
/ [sin87° * sin(90° - 27°) - sin(90° + 87°) * sin27°] =
= √6 * [cos14° * sin31° + sin14° * cos31°] /
/ [sin87° * cos27° - cos87° * sin27°] =
= √6 * [sin(14° + 31°)] / [sin(87° - 27°)] =
= √6 * sin45° / sin60° = [(√6*√2)/2] / (√3/2) = 2
=