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Thi Luyen Nguyen
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Lucious
2 tháng 8 2019 lúc 11:57

Gọi cạnh đối là O, cạnh kề là A và cạnh huyền là H.

Ta có: \(\sin\partial=\frac{o}{H}\)

\(\cos\partial=\frac{A}{H}\)

\(\tan\partial=\frac{O}{A}\)

\(\cot\partial=\frac{A}{O}\)

a) \(\Rightarrow\frac{\sin\partial}{\cos\partial}=\frac{\frac{O}{H}}{\frac{A}{H}}=\frac{O}{A}=\tan\partial\)(đpcm)

b) \(\Rightarrow\frac{\cos\partial}{\sin\partial}=\frac{\frac{A}{H}}{\frac{O}{H}}=\frac{A}{O}=\cot\partial\)(đpcm)

c)\(\Rightarrow\tan\partial\times\cot\partial=\frac{O}{A}\times\frac{A}{O}=1\)(đpcm)

d)\(\Rightarrow\sin^2\partial+\cos^2\partial=\left(\frac{O}{H}\right)^2+\left(\frac{A}{H}\right)^2=\frac{O^2+A^2}{H^2}\)

Mà theo định lý Py-ta-go: \(H^2=O^2+A^2\)

\(\Rightarrow\frac{O^2+A^2}{H^2}=1\)\(\Leftrightarrow\sin^2\partial+\cos^2\partial=1\)(đpcm)

e) Ta có:\(1+\tan^2\partial=\)\(1+\left(\frac{O}{A}\right)^2=\frac{O^2+A^2}{A^2}=\frac{H^2}{A^2}\)(theo định lý Py-ta-go)(1)

Mặt khác: \(\frac{1}{\cos^2\partial}=\frac{1}{\frac{A^2}{H^2}}=\frac{H^2}{A^2}\)(2)

Vì (1) = (2) \(\Rightarrow1+\tan^2\partial=\frac{1}{cos^2\partial}\) (đpcm)

f) Ta có: \(1+\cot^2\partial=1+\left(\frac{A}{O}\right)^2=\frac{O^2}{O^2}+\frac{A^2}{O^2}=\frac{O^2+A^2}{O^2}=\frac{H^2}{O^2}\)(theo định lý Py-ta-go)(1)

Mặt khác: \(\frac{1}{\sin^2\partial}=\frac{1}{\frac{O^2}{H^2}}=\frac{H^2}{O^2}\)(2)

Vì (1) = (2) \(\Rightarrow1+\cot^2\partial=\frac{1}{\sin^2\partial}\)(đpcm)

No Name
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Khinh Yên
31 tháng 10 2021 lúc 8:46

1. “I took part in a reality show last year,” said Monica.

1 điểm

Monica said that I had taken part in a reality show the previous year.

Monica said that I had taken part in a reality show' last year.

Monica said that she had taken part in a reality show the previous year.

Monica said that she would take part in a reality show last year.

2. “Remember to bring your books,” he said.

1 điểm

He said I remembered to bring my books

He warned me against bringing my books.

He asked me if I remembered to bring my books.

He reminded me to bring my books.

3. "You got an A in Chemistry. Congratulations!" Peter said to his classmate

1 điểm

Peter encouraged his classmate to get an A in Chemistry.

Peter congratulated his classmate on getting an A in Chemistry.

Peter persuaded his classmate to get an A in Chemistry.

Peter insisted on getting an A in Chemistry for his classmate.

4. "I'm going to have a job interview tomorrow," said Paul.

1 điểm

Paul said that I am going to have a job interview tomorrow.

Paul said that he was going to have a job interview the following day.

Paul said that I was going to have a job interview the following day.

Paul said that he was going to have a job interview tomorrow

5. "When did you start practising yoga?" asked Tom.

1 điểm

Tom wanted to know when I had started practising yoga.

Tom wanted to know when I was starting to practise yoga.

Tom wanted to know when had I started practising yoga.

Tom wanted to know when did I start practising yoga

6. My father asked me _______ of the film.

1 điểm

what do you think

what did I think

what I thought

What I think

7. My cousin said that he was coming _______.

1 điểm

tomorrow

next day

the day before

the following day

8. He wanted to know whose car I had borrowed______

1 điểm

the previous day

yesterday evening

last night

the last evening

9. She asked me if I _____to see him off at the station.

1 điểm

go

am going

was going

will go

10. I ______Mai for helping me with the housework.

1 điểm

greeted

thanked

congratulated

agreed

11. I warned them _____late-night horror movies.

1 điểm

didn't watch

not watching

don't watch

not to watch

12. John said, “You’d better not lend them any money, Daisy.”

1 điểm

John asked Daisy if she had lent them any money.

John commanded Daisy not to lend them any money.

John advised Daisy not to lend them any money.

 

John ordered Daisy not to lend them any money.

 

Khôi Nguyênx
31 tháng 10 2021 lúc 8:23

v:))))))

nhiều vãi 

gấu hài hước
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Nguyễn Văn Phúc
27 tháng 11 2021 lúc 13:16

D

Trần Ánh Dương
1 tháng 3 2022 lúc 19:55

1.D

2.C

3.C

4.A

Đan Huyền
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Harry Huan
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Nguyễn Quỳnh Giao
14 tháng 12 2016 lúc 21:11

60

Ly Ly
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Khinh Yên
11 tháng 9 2021 lúc 15:05

 

*Choose the word or phrase with the same meaning as the underlined part.
essence of friendship.
finished as scheduled.
enjoyable evening boating in the river.
compulsory subjects on this course.
observe and describe the world.
take care of others.
A. look after B. take part in C. organize D. clean up

Tuyết Nhi TV
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Nguyễn Ngọc Khánh Huyền
21 tháng 12 2021 lúc 18:50

Choose the words whose underlined part is pronounced differently
1.brothers 2.letters 3.hats
Choose the words whose underlined part is pronounced differently
1.chairs 2.books 3.pictures
Choose the words whose underlined part is pronounced differently
1.parents 2.fathers 3.sisters 

Lê Phạm Bảo Linh
21 tháng 12 2021 lúc 18:51

3.hats
2.books
1.parents
(mình thấy mấy câu này đều có 2 từ đã là âm r cuối rồi mà..)
 

Minh Đạt
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Lê Trang
22 tháng 3 2022 lúc 9:41

Find the word which has a different sound in the part underlined.

(1 Point)

gather

monthly

father

brother

2.Find the word which has a different sound in the part underlined.

(1 Point)

fold

close

cloth

hold

3.Find the word which has a different sound in the part underlined.

(1 Point)

test

dress

C. these

then

4.Find the word which has a different sound in the part underlined.

(1 Point)

man

woman

relax

badminton

5.Find the word which has a different sound in the part underlined.

(1 Point)

mountain

mouse

round

cousin

6.Find the odd word in each line.

(1 Point)

walk

borrow

took

cook

7.Find the odd word in each line.

(1 Point)

went

got

eat

drank

8.Find the odd word in each line.

(1 Point)

running

driving

skipping

swimming

9.Find the odd word in each line.

(1 Point)

book

show

comedy

cartoon

10.Find the odd word in each line.

(1 Point)

boring

educational

interesting

funny

11.Choose the correct answer A, B or C.
There ___ an interesting match on TV last night.

(1 Point)

is

were

was

12.Choose the correct answer A, B or C.
My dad ___ a lot of tennis some years ago.

(1 Point)

plays

played

is playing

13.Choose the correct answer A, B or C.
I was at the gym last Sunday, but I ___ you there.

(1 Point)

not saw

don't see

didn't see

NguyenThiLe
30 tháng 7 2023 lúc 23:02

loading...

datcoder
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datcoder
21 tháng 11 2023 lúc 21:20

which was designed to hold only two people

=> designed to hold only two people

(được thiết kế để chỉ chứa hai người)

who had been following instructions from the ground crew

=> following instructions from the ground crew

(làm theo hướng dẫn của nhân viên mặt đất)

who were working 24 hours a day

=> working 24 hours a day

(làm việc 24 giờ một ngày)

which was discussed on all the TV news programmes

=> discussed on all the TV news programmes

(được thảo luận trên tất cả các chương trình tin tức truyền hình)

who were risking their lives

=> risking their lives

(mạo hiểm tính mạng của họ)

who were trying to save them

=> trying to save them

(cố gắng cứu họ)

The Apollo 13 mission is often described as a 'successful failure' because while the mission did not achieve its primary goal of landing on the moon, the mission became a triumph of human ingenuity and teamwork in the face of crisis. Despite the explosion that damaged the spacecraft and the many challenges faced by the crew and the ground crew during the mission, all three astronauts returned safely to Earth, thanks to the remarkable efforts of everyone involved.

(Sứ mệnh Apollo 13 thường được mô tả là một "thất bại thành công" bởi vì mặc dù sứ mệnh không đạt được mục tiêu chính là hạ cánh trên mặt trăng, nhưng sứ mệnh này đã trở thành một chiến thắng của sự khéo léo của con người và tinh thần đồng đội khi đối mặt với khủng hoảng. Bất chấp vụ nổ làm hỏng tàu vũ trụ và nhiều thách thức mà phi hành đoàn và nhân viên mặt đất phải đối mặt trong nhiệm vụ, cả ba phi hành gia đã trở về Trái đất an toàn nhờ những nỗ lực đáng kể của mọi người tham gia.)

chanh
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