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Функции y=tg x и y=ctg x

Authored by Елена Непогодина

Mathematics

10th Grade

Used 323+ times

Функции y=tg x и y=ctg x
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10 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Укажите значение  tg π3tg\ \frac{\pi}{3}  

 13\frac{1}{\sqrt{3}}  

 3\sqrt{3}  

1

 32\frac{\sqrt{3}}{2}  

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Укажите значение ctg π4\operatorname{ctg}\ \frac{\pi}{4}   

  

1

- 1

 3\sqrt{3}  

 13\frac{1}{\sqrt{3}}  

3.

MULTIPLE SELECT QUESTION

1 min • 1 pt

Укажите свойства функции y=tg xy=tg\ x   

D=R

E=R

Периодическая  ( T=πT=\pi  )

Убывает на промежутках (πn;π+πn)\left(\pi n;\pi+\pi n\right)  

Нечетная

4.

MULTIPLE SELECT QUESTION

1 min • 1 pt

Укажите свойства функции y=ctg xy=\operatorname{ctg}\ x   

D=R \ {πn},nZ\left\{\pi n\right\},n\in Z  

E=[-1;1]

Периодическая (T=2π)\left(T=2\pi\right)    

Убывает на промежутках  (πn;π+πn)\left(\pi n;\pi+\pi n\right)  

Четная

5.

FILL IN THE BLANKS QUESTION

45 sec • 1 pt

Найдите значение tg (57π)tg\ \left(-57\pi\right)   

(a)  

6.

FILL IN THE BLANKS QUESTION

1 min • 1 pt

Найдите значение ctg (9π4)\operatorname{ctg}\ \left(-\frac{9\pi}{4}\right)  

(a)  

7.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Выберите рисунок, на котором изображен график функции y=tg x

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