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HoneyChan
@HoneyChan
July 2022
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Найдите значение выражения 14/sin (-27п/4) cos(29п/4)
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Answers & Comments
nKrynka
Решение
14/sin (-27π/4) cos(29π/4) = - 14 / [sin(28π/4 - π/4) * cos(28π/2 + π/4)] =
= - 14 / [sin(7π - π/4) * cos(7π +
π/4)] = - 14 / [(sin
π/4) * (- cosπ/4)] =
= 14 / (√2/2 * √2/2) = 14*4 / 2 = 28
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Answers & Comments
14/sin (-27π/4) cos(29π/4) = - 14 / [sin(28π/4 - π/4) * cos(28π/2 + π/4)] =
= - 14 / [sin(7π - π/4) * cos(7π + π/4)] = - 14 / [(sinπ/4) * (- cosπ/4)] =
= 14 / (√2/2 * √2/2) = 14*4 / 2 = 28