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moiseenkonasta
@moiseenkonasta
October 2021
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помогите пожалуйста
упростить выражение cos(0,5П+а)tg (1,5П+а)/ctg(0,5П-а)sin (0,5П-а) ctg (-a)
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kalbim
Verified answer
Числитель: -cos(a)*tg(π/2 + a) = -cos(a)*(-ctg(a)) = cos(a)*ctg(a)
Знаменатель: ctg(π/2 - a)*sin(π/2 - a)*ctg(-a) = tg(a)*cos(a)*(-ctg(a)) = -cos(a)
Дробь: cos(a)*ctg(a)/(-cos(a)) = -ctg(a)
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Answers & Comments
Verified answer
Числитель: -cos(a)*tg(π/2 + a) = -cos(a)*(-ctg(a)) = cos(a)*ctg(a)Знаменатель: ctg(π/2 - a)*sin(π/2 - a)*ctg(-a) = tg(a)*cos(a)*(-ctg(a)) = -cos(a)
Дробь: cos(a)*ctg(a)/(-cos(a)) = -ctg(a)