упростите sin² t - (cos²t)/ctg(-t)×tg t. Created by slowlennes. algebra-ru

ctg(-t)×tg t...

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July 2022 1 7 Report

упростите sin² t - (cos²t)/ctg(-t)×tg t

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Vasily1975

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Так как ctg(-t)=1/tg(-t), а tg(-t)=-tg(t), то и ctg(-t)=-1/tg(t). тогда (cos²t)/ctg(-t)*tg t =-cos²t, и выражение приводится к sin²t-(-cos²t)=sin²t+cos²t=1. Ответ: 1

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slowlennes Спасибо, Василий

Vasily1975 Желаю удачи!

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