Предмет: Математика, автор: posivajaroslav

Обчислити значення виразу: tg 11п/3

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Автор ответа: Alnadya

Решение.

Вычислить значение выражения.

Воспользуемся тем, что функция у=tgx периодична и можно период функции отбрасывать $(\ \bf T=\pi n\ ,\ n\in Z\ )$ . А также воспользуемся нечётностью функции y=tgx $(\bf \ tg(-x)=-tgx\ )$ .

$\bf tg\dfrac{11\pi}{3}=tg\dfrac{12\pi -\pi }{3}=tg\Big(4\pi -\dfrac{\pi }{3}\Big)=tg\Big(-\dfrac{\pi }{3}\Big)=-tg\dfrac{\pi}{3}=-\sqrt3$

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1 Choose the correct answers.
1 She is interested in ___ a musical instrument.
a learn b to learn c learning
2 ___ in a dishwasher?
a The dishes washed b Do the dishes wash c Are the dishes washed
3 Henry ___ his granddaughter fishing yesterday.
a took b has taken c used to take
4 The theatre ___ by a huge fire last year.
a was destroying b destroyed c was destroyed
5 She ___ angry if you’d told her the truth.
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a used to go b was going c have been going
7 The train ___ at five, so we must be at the station fifteen minutes before.
a will leave b is going to leave c leaves
8 Who ___ you that? It was a secret!
a told b did tell c tell
9 They ___ to wear a uniform at their school. It’s one of the rules.
a must b have c should
10 If he ___ you, he would have said hello.
a saw b had seen c would have seen
11 While we ___ a film on TV, Jane called.
a watched b were watching c watching
12 I think I ___ go to bed early tonight. I’ve got a headache.
a ’m going b go c ’ll go
13 I can’t play tennis with you. I ___ my homework yet.
a ’m not doing b didn’t do c haven’t done
14 ___ a real tiger?
a Did you ever see b Have you ever seen c You have ever seen
15 All the children ___ to the party.
a invite b were invited c are inviting
16 My sister asked me ___ play my music so loud.
a not to b to not c don’t
17 His parents were happy ___ how well he was doing at school.
a to see b see c seen
18 If I ___ some free time, I’ll visit my grandmother this weekend.
a have b had c ’ll have
19 I stayed up late ___ my homework.
a finish b to finish c for finishing
20 My family and I ___ in London for three years. We love it here.
a live b are living c have lived
21 Mum and Dad ___ breakfast by the time I woke up.
a had b have had c had had
22 ___ you ride a bike when you were five?
a Can b Could c Have to
23 She said that she ___ to Spain for her holiday the following week.
a is going b will go c was going
24 I ___ buy a new computer, but I’m not sure.
a will b might c can
25 I ___ Mr Brown if I could do my project on North America.
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Обчислити значення виразу: tg 11п/3​

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Обчислити значення виразу: tg 11п/3