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Консультация № 70913
14.01.2007, 18:21
0.00 руб.
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1
1
здравствуйте!
Помогите пожалуйста решить след примеры:
sin(2arcctg(-3)) и
arccos(sin9)
Целый день бьюсь не могу решить.
Спасибо.
Помогите пожалуйста решить след примеры:
sin(2arcctg(-3)) и
arccos(sin9)
Целый день бьюсь не могу решить.
Спасибо.
Обсуждение
Неизвестный
14.01.2007, 18:53
общий
это ответ
Здравствуйте, Иванов Константин Владиславович/Aspirine!
2. arccos(sin9)=pi/2 - arcsin(sin9)=
так как необходимо чтобы arcsin был от -90 до 90
=pi/2 - (3pi - 9)= -2.5pi + 9
1. sin(2arcctg(-3)) = 2sin(arcctg(-3))*cos(arcctg(-3)) =
= 2* √(1/(1+ctg^2 (arcctg(-3))))* √(1- (1/(1+ctg^2 (arcctg(-3)))))=
=2*√(1/10)*√(9/10)=6/10
2. arccos(sin9)=pi/2 - arcsin(sin9)=
так как необходимо чтобы arcsin был от -90 до 90
=pi/2 - (3pi - 9)= -2.5pi + 9
1. sin(2arcctg(-3)) = 2sin(arcctg(-3))*cos(arcctg(-3)) =
= 2* √(1/(1+ctg^2 (arcctg(-3))))* √(1- (1/(1+ctg^2 (arcctg(-3)))))=
=2*√(1/10)*√(9/10)=6/10
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