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Задать вопрос экспертам

Консультация № 109043

12.11.2007, 12:02

0.00 руб.

0 1 1

Образование

Здравствуйте, помогите пожалуйста выразить cosb из уравнения
cos(a+b)=cosa-2*x*I/1.73E

Обсуждение

Неизвестный

12.11.2007, 12:49

общий

это ответ

<font color=red><b>!!!</b></font>
Здравствуйте, Пулатова Карина Викторовна!

Здравствуйте, помогите пожалуйста выразить cosa из уравнения
cos(a+b)=cosa-2*x*I/1.73E <font color=red>!!! В условии сказано: выразить cos(b)</font>

Не понятно, что у Вас дано. Я полагаю, что Вы на самом деле хотите найти a, а все отсальные величины известны.
Используем формулу разности косинусов:
cos(a) - cos(a + b) = 2*sin(a + b/2)sin(b/2) = 2*x*I/1.73E
sin(a + b/2) = x*I/(1.73E*sin(b/2))
a = arcsin(x*I/(1.73E*sin(b/2))) - b/2
cos(a) = cos[arcsin(x*I/(1.73E*sin(b/2))) - b/2]
<p><fieldset style=‘background-color:#EFEFEF; width:80%; border:red 1px solid; padding:10px;‘ class=fieldset><font color=red><i></i>
-----
</font><font color=#777777 size=1><b>• Отредактировал: <a href=/info/user/118729 target=_blank>Агапов Марсель</a></b> (Специалист)
<b>• Дата редактирования:</b> 12.11.2007, 18:48</font></fieldset>

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