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1Einstein777
@1Einstein777
June 2022
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Упростить
(tg (a) * ctg (a) - sin^2 (a)) : cos^2 (a)
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kirichekov
Verified answer
(tgα*ctgα-sin²α):cos²α=((sinα/cosα)*(cosα/sinα)-sin²α):cos²α=(1-sin²α):cos²α=(sin²α+cos²α-sin²α):cos²α=cos²α:cos²α=
1
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1Einstein777
Ты уверен? У меня так же получилось, просто, 3 примера до этого тоже = 1
kirichekov
да, всё правильно
kirichekov
"разжевала" по формулам
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Answers & Comments
Verified answer
(tgα*ctgα-sin²α):cos²α=((sinα/cosα)*(cosα/sinα)-sin²α):cos²α=(1-sin²α):cos²α=(sin²α+cos²α-sin²α):cos²α=cos²α:cos²α=1