Алгебра (9 кл. БП)
Известно, что sin t =
. Верны ли тождества? А) sin(t + 2π) =
В) sin(t – π) =
Подберите правильный ответ
![image025.gif](/discipline-images/329069/image025.gif)
![image025.gif](/discipline-images/329069/image025.gif)
![image025.gif](/discipline-images/329069/image025.gif)
А - да, В - да
А - нет, В - нет
А - да, В -нет
А - нет, В - да
Решите уравнение sin t = –![image009.gif](/discipline-images/329069/image009.gif)
![image009.gif](/discipline-images/329069/image009.gif)
t =
+ 2πk, t =
+ 2πk
![image020.gif](/discipline-images/329069/image020.gif)
![image044.gif](/discipline-images/329069/image044.gif)
t =
+ 2πk, t =
+ 2πk
![image001.gif](/discipline-images/329069/image001.gif)
![image002.gif](/discipline-images/329069/image002.gif)
t = –
+ 2πk, t = –
+ 2πk
![image020.gif](/discipline-images/329069/image020.gif)
![image044.gif](/discipline-images/329069/image044.gif)
t = ![image047.gif](/discipline-images/329069/image047.gif)
+ 2πk
![image047.gif](/discipline-images/329069/image047.gif)
![image001.gif](/discipline-images/329069/image001.gif)
Известно, что cos t = –
. Верны ли тождества? А) cos(t + 2π) = –
В) cos(t – π) =
Подберите правильный ответ
![image026.gif](/discipline-images/329069/image026.gif)
![image026.gif](/discipline-images/329069/image026.gif)
![image026.gif](/discipline-images/329069/image026.gif)
А - да, В -нет
А - нет, В - нет
А - нет, В - да
А - да, В - да
Укажите соответствие между углом и значениями его синуса и косинуса
t = ![image006.gif](/discipline-images/329069/image006.gif)
![image006.gif](/discipline-images/329069/image006.gif)
sin t =
, cos t = ![image004.gif](/discipline-images/329069/image004.gif)
![image005.gif](/discipline-images/329069/image005.gif)
![image004.gif](/discipline-images/329069/image004.gif)
t = ![image003.gif](/discipline-images/329069/image003.gif)
![image003.gif](/discipline-images/329069/image003.gif)
sin t =
, cos t = –![image005.gif](/discipline-images/329069/image005.gif)
![image004.gif](/discipline-images/329069/image004.gif)
![image005.gif](/discipline-images/329069/image005.gif)
t = –![image007.gif](/discipline-images/329069/image007.gif)
![image007.gif](/discipline-images/329069/image007.gif)
sin t = –
, cos = –![image004.gif](/discipline-images/329069/image004.gif)
![image005.gif](/discipline-images/329069/image005.gif)
![image004.gif](/discipline-images/329069/image004.gif)
Решите уравнение 2sin + 1 = 0
t = –
+ 2πk, t = –
+ 2πk
![image014.gif](/discipline-images/329069/image014.gif)
![image003.gif](/discipline-images/329069/image003.gif)
t = –
+ 2πk, t = –
+ 2πk
![image021.gif](/discipline-images/329069/image021.gif)
![image012.gif](/discipline-images/329069/image012.gif)
t =
+ 2πk, t =
+ 2πk
![image014.gif](/discipline-images/329069/image014.gif)
![image003.gif](/discipline-images/329069/image003.gif)
t =
+ 2πk, t =
+ 2πk
![image021.gif](/discipline-images/329069/image021.gif)
![image012.gif](/discipline-images/329069/image012.gif)
Укажите соответствие между углом и значениями его синуса и косинуса
t = –2π
sin t = 1, cos t = 0
t = –π
sin t = −1, cos t = 0
t = –![image001.gif](/discipline-images/329069/image001.gif)
![image001.gif](/discipline-images/329069/image001.gif)
sin t = 0, cos t = −1
t = –![image002.gif](/discipline-images/329069/image002.gif)
![image002.gif](/discipline-images/329069/image002.gif)
sin t = 0, cos = 1
Решите уравнение
sint = ![image043.gif](/discipline-images/329069/image043.gif)
![image042.gif](/discipline-images/329069/image042.gif)
![image043.gif](/discipline-images/329069/image043.gif)
t =
+ 2πk, t =
+ 2πk
![image020.gif](/discipline-images/329069/image020.gif)
![image044.gif](/discipline-images/329069/image044.gif)
t =
+ 2πk, t =
+ 2πk
![image014.gif](/discipline-images/329069/image014.gif)
![image003.gif](/discipline-images/329069/image003.gif)
t =
+ 2πk, t =
+ 2πk
![image001.gif](/discipline-images/329069/image001.gif)
![image002.gif](/discipline-images/329069/image002.gif)
t =
+ 2πk, t =
+ 2πk
![image021.gif](/discipline-images/329069/image021.gif)
![image007.gif](/discipline-images/329069/image007.gif)
Решите уравнение сos t = –![image009.gif](/discipline-images/329069/image009.gif)
![image009.gif](/discipline-images/329069/image009.gif)
t = –
+ 2πk, t = –
+ 2πk
![image020.gif](/discipline-images/329069/image020.gif)
![image044.gif](/discipline-images/329069/image044.gif)
t = ![image047.gif](/discipline-images/329069/image047.gif)
+ 2πk
![image047.gif](/discipline-images/329069/image047.gif)
![image044.gif](/discipline-images/329069/image044.gif)
t = ![image047.gif](/discipline-images/329069/image047.gif)
+ 2πk
![image047.gif](/discipline-images/329069/image047.gif)
![image020.gif](/discipline-images/329069/image020.gif)
t =
+ 2πk, t =
+ 2πk
![image020.gif](/discipline-images/329069/image020.gif)
![image044.gif](/discipline-images/329069/image044.gif)
Известно, что sin t =
. Верны ли тождества? А) sin(t – 2π) = –
В) sin(t + π) = –
Подберите правильный ответ
![image025.gif](/discipline-images/329069/image025.gif)
![image025.gif](/discipline-images/329069/image025.gif)
![image025.gif](/discipline-images/329069/image025.gif)
А - да, В -нет
А - да, В - да
А - нет, В - да
А - нет, В - нет
Укажите соответствие между углом и значениями его синуса и косинуса
t = ![image001.gif](/discipline-images/329069/image001.gif)
![image001.gif](/discipline-images/329069/image001.gif)
sin t = 0, cos t = –1
t = 0
sin t = −1, cos t = 0
t = ![image002.gif](/discipline-images/329069/image002.gif)
![image002.gif](/discipline-images/329069/image002.gif)
sin t = 0, cos t = 1
t = π
sin t = 1, cos t = 0
Решите уравнение 2sin t –
= 0
![image013.gif](/discipline-images/329069/image013.gif)
t =
+ 2πk, t =
+ 2πk
![image001.gif](/discipline-images/329069/image001.gif)
![image002.gif](/discipline-images/329069/image002.gif)
t =
+ 2πk, t =
+ 2πk
![image020.gif](/discipline-images/329069/image020.gif)
![image044.gif](/discipline-images/329069/image044.gif)
t =
+ 2πk, t =
+ 2πk
![image014.gif](/discipline-images/329069/image014.gif)
![image003.gif](/discipline-images/329069/image003.gif)
t =
+ 2πk, t =
+ 2πk
![image021.gif](/discipline-images/329069/image021.gif)
![image012.gif](/discipline-images/329069/image012.gif)
Решите уравнение сos t = –0,5
t = –
+ 2πk, t = –
+ 2πk
![image021.gif](/discipline-images/329069/image021.gif)
![image012.gif](/discipline-images/329069/image012.gif)
t = ![image047.gif](/discipline-images/329069/image047.gif)
+ 2πk
![image047.gif](/discipline-images/329069/image047.gif)
![image012.gif](/discipline-images/329069/image012.gif)
t = ![image047.gif](/discipline-images/329069/image047.gif)
+ 2πk
![image047.gif](/discipline-images/329069/image047.gif)
![image003.gif](/discipline-images/329069/image003.gif)
t =
+ 2πk, t =
+ 2πk
![image014.gif](/discipline-images/329069/image014.gif)
![image003.gif](/discipline-images/329069/image003.gif)
Из представленных выражений укажите отрицательные:
sin
· cos(–
)
![image032.gif](/discipline-images/329069/image032.gif)
![image020.gif](/discipline-images/329069/image020.gif)
сos10 · sin16
sin
· cos(–
)
![image033.gif](/discipline-images/329069/image033.gif)
![image018.gif](/discipline-images/329069/image018.gif)
sin(–
) · cos(–
)
![image033.gif](/discipline-images/329069/image033.gif)
![image033.gif](/discipline-images/329069/image033.gif)
Решите уравнение 6sin t +
= 0
![image045.gif](/discipline-images/329069/image045.gif)
t =
+ 2πk, t =
+ 2πk
![image014.gif](/discipline-images/329069/image014.gif)
![image003.gif](/discipline-images/329069/image003.gif)
t = –
+ 2πk, t = –
+ 2πk
![image014.gif](/discipline-images/329069/image014.gif)
![image003.gif](/discipline-images/329069/image003.gif)
t = –
+ 2πk, t = –
+ 2πk
![image021.gif](/discipline-images/329069/image021.gif)
![image012.gif](/discipline-images/329069/image012.gif)
t =
+ 2πk, t =
+ 2πk
![image021.gif](/discipline-images/329069/image021.gif)
![image012.gif](/discipline-images/329069/image012.gif)
Решите уравнение sin t = ![image009.gif](/discipline-images/329069/image009.gif)
![image009.gif](/discipline-images/329069/image009.gif)
t = ![image047.gif](/discipline-images/329069/image047.gif)
+ 2πk
![image047.gif](/discipline-images/329069/image047.gif)
![image001.gif](/discipline-images/329069/image001.gif)
t = ![image047.gif](/discipline-images/329069/image047.gif)
+ 2πk
![image047.gif](/discipline-images/329069/image047.gif)
![image020.gif](/discipline-images/329069/image020.gif)
t =
+ 2πk, t =
+ 2πk
![image020.gif](/discipline-images/329069/image020.gif)
![image044.gif](/discipline-images/329069/image044.gif)
t =
+ 2πk, t =
+ 2πk
![image021.gif](/discipline-images/329069/image021.gif)
![image012.gif](/discipline-images/329069/image012.gif)
Решите уравнение sin t = –0,5
t =
+ 2πk, t =
+ 2πk
![image014.gif](/discipline-images/329069/image014.gif)
![image003.gif](/discipline-images/329069/image003.gif)
t = ![image047.gif](/discipline-images/329069/image047.gif)
+ 2πk
![image047.gif](/discipline-images/329069/image047.gif)
![image003.gif](/discipline-images/329069/image003.gif)
t = –
+ 2πk
![image014.gif](/discipline-images/329069/image014.gif)
t = –
+ 2πk, t = –
+ 2πk
![image014.gif](/discipline-images/329069/image014.gif)
![image003.gif](/discipline-images/329069/image003.gif)
Решите уравнение sin t = –![image005.gif](/discipline-images/329069/image005.gif)
![image005.gif](/discipline-images/329069/image005.gif)
t =
+ 2πk, t =
+ 2πk
![image021.gif](/discipline-images/329069/image021.gif)
![image012.gif](/discipline-images/329069/image012.gif)
t = ![image047.gif](/discipline-images/329069/image047.gif)
+ 2πk
![image047.gif](/discipline-images/329069/image047.gif)
![image012.gif](/discipline-images/329069/image012.gif)
t = –
+ 2πk, t = –
+ 2πk
![image021.gif](/discipline-images/329069/image021.gif)
![image012.gif](/discipline-images/329069/image012.gif)
t = ![image047.gif](/discipline-images/329069/image047.gif)
+ 2πk
![image047.gif](/discipline-images/329069/image047.gif)
![image021.gif](/discipline-images/329069/image021.gif)
Решите уравнение cos t = ![image004.gif](/discipline-images/329069/image004.gif)
![image004.gif](/discipline-images/329069/image004.gif)
t =
+ 2πk, t =
+ 2πk
![image021.gif](/discipline-images/329069/image021.gif)
![image012.gif](/discipline-images/329069/image012.gif)
t = –
+ 2πk, t = –
+ 2πk
![image021.gif](/discipline-images/329069/image021.gif)
![image012.gif](/discipline-images/329069/image012.gif)
t = ![image047.gif](/discipline-images/329069/image047.gif)
+ 2πk
![image047.gif](/discipline-images/329069/image047.gif)
![image021.gif](/discipline-images/329069/image021.gif)
t = ![image047.gif](/discipline-images/329069/image047.gif)
+ 2πk
![image047.gif](/discipline-images/329069/image047.gif)
![image012.gif](/discipline-images/329069/image012.gif)