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Dzhons
@Dzhons
October 2021
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Упростите выражение:
(Cos2a +1)tg
²a - 1
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Andr1806
Verified answer
По формуле двойного угла:
Cos2a=1-2Sin²a. тогда Сos2a+1 = 2-2Sin²a = 2(1-Sin²a) = 2Cos²a.
Значит (Cos2a+1)*td²a =2Cos²a*Sin²a/Cos²a=2Sin²a.
и, наконец, 2Sin²a - 1 = -(1-2Cos²a) =-Cos2a (по формуле двойного угла).
Ответ: (Cos2a+1)*tg²a - 1 = -cos2a.
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Answers & Comments
Verified answer
По формуле двойного угла:Cos2a=1-2Sin²a. тогда Сos2a+1 = 2-2Sin²a = 2(1-Sin²a) = 2Cos²a.
Значит (Cos2a+1)*td²a =2Cos²a*Sin²a/Cos²a=2Sin²a.
и, наконец, 2Sin²a - 1 = -(1-2Cos²a) =-Cos2a (по формуле двойного угла).
Ответ: (Cos2a+1)*tg²a - 1 = -cos2a.