Prove this:cot 75° + cot 15°=4​

Answers

Answer 1

Answer:

[tex]tan75 {}^{0} = 2 + \sqrt{3} [/tex]

[tex]tan \: 15 {}^{0} = 2 - \sqrt{3} [/tex]

=> cot 75⁰ + cot 15⁰

= cot(90⁰ - 15⁰) + cot(90⁰ - 75⁰)

= tan 15⁰ + tan 75⁰

=

[tex]2 + \sqrt{3} + 2 - \sqrt{3} = 4[/tex]

(proven)


Related Questions

What new problems where created after the 14 amendment

Answers

Answer:

Guaranteed all citizens equal protection of the laws.

Answer:

It failed to fix the bill of rights and protect the rights of black citizens

Explanation:

You are living in the US during the time period when the Confederate
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up by the federal government. 3 new amendments , extending freedom
and rights, are being added to the Constitution. You are living in which
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Answer:

The Reconstruction Amendments are the Thirteenth, Fourteenth, and Fifteenth amendments to the United States Constitution, adopted between 1865 and 1870, the five years immediately following the Civil War.

Explanation:

Which colony was founded by William Penn

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Answer:

Pennsylvania is the answer

The province of Pennsylvania

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Sure thing.


Explanation: I will do my best

What region of the world became the MAIN focus of imperialistic powers during the Age of Imperialism?
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O B Asia
O C the Caribbean
OD. the South Pacific

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A. Africa

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because it’s own continent and is separated from america

Would you feather be an Athenian or a spartan

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Answer:

Both

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Because the cerebellum and cerebrum control movement and behavior, researchers began their investigation by studying the diseased cows' brains.


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F

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Answer:

True

Explanation:

Answer:

True

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Why was the Oregon Trail such a popular route to the west?

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Answer:

Everything from California to Alaska and between the Rocky mountains and the Pacific ocean was a British health territory called oregon. the trail pointed the way for the United States to expand Westward to achieve what politicians of this day called manifest destiny to reach from sea to shining sea.

Explanation:

Hope this helped Mark BRAINLEST!!

Where was BSE first detected in the mid 1980’s?
a.
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c.
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b.
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d.
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Please select the best answer from the choices provided

A
B
C
D

Answers

Answer:

D. Britain

Explanation:

Slavery was defended for many reasons in the 1800s. Which opinion best explains why some citizens of free states might support slavery? (1 point) Group of answer choices
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B. Escaped slaves should not be protected by the governments of free states.

C. New states should be able to choose whether slavery would be legal or not.

D.Southern agriculture was too important to the U.S. economy to lose slave labor.

Answers

Answer:

D

Explanation:

Why did communism appeal to many Chinese during the mid-1900s?

Answers

Answer:

that is a good question here is answer: One of the main sources of Communism's appeal to the Chinese people was its association in the popular mind with the national liberation struggle against the Japanese.

What problems where created before the 14 amendment

Answers

Answer:

The Thirteenth Amendment, passed in 1865, made slavery illegal, so i'm guessing people were obviously mad, so either racial/slavery problems or Native Americans not being granted citizenship

***LET ME KNOW IF THIS HELPS***

Explanation:

can i have brainliest... thanx

What is stored at the National Archives?

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look it up. I just did and it showed me the answer!!
“Located at the National Archives Building in Washington, DC, the National Archives Experience, including the permanent display of the Declaration of Independence, the Constitution, and the Bill of Rights, as well as the Public Vaults, is open every day except Thanksgiving Day and December 25.”

If any one can answer this free 25 points and brainlinest.But fast​

Answers

Answer:

Sorry I’m late -_-

Explanation:

Answer:

5. Lack of safety, services, etc. They also might live in poor conditions that generate the urge to migrate, violence and abuse also causes people to flee.

Explanation:

:) Hope this helps!

(Sorry I dont know the rest!)

Which of the following documents is a foundation for the American values of self-government and limited
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A
B
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D

Answers

it was the "A. the English Bill of Rights," that is a foundation for the American values of self-government and limited power, since the Founding Fathers pointed to this document when calling out the hypocrisy of the English leading up to the Revolution.

Describe some of the treasures
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Answer:

Statues, gold jewelry, Tutankhamun's mummy, chariots, model boats, canopic jars, chairs, and paintings. Covered in linen

Explanation:

Before Herodotus', how did Greeks explain the past?

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Answer:

The Greeks told myths to tell stories of the past or they used ledgends

Explanation:

plz mark as brainliest

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Thereeee ya goooo

Explanation:

Can someone plz help me

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Answer:
The King realized a constitution limits a leader’s power.

Explanation:
The constitution divides power within three branches of government which leaves The King with a limited amount of power.
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Answers

A nymph in ancient Greek folklore is a minor female nature deity. Different from Greek goddesses, nymphs are generally regarded as personifications of nature, are typically tied to a specific place or landform, and are usually depicted as beautiful maidens

Answer:

a nymph is a mythological spirit of nature imagined as a beautiful maiden inhabiting rivers, woods, or other locations.

What made most European democracies formed after WWI weak and ineffective?

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C. There are too many political parties to get anything done

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Answer:

The current population of Europe is 748,102,683 as of Sunday, July 11, 2021, based on the latest United Nations estimates.

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It is the Prime minister.

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Answers

Answer:

American it impacts positive and Africa is negitive

write some importance of historical past​

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Explanation:

Historical past gives us the opportunity to learn from others' past mistakes. It helps us understand the many reasons why people may behave the way they do. As a result, it helps us become more impartial as decision-makers.strong knowledge of the past helps historians identify trends and cycles throughout history and then apply that acumen of the past to improve insight of present events and prepare better for the future.Historic past helps us develop a better understanding of the world. You can't build a framework on which to base your life without understanding how things work in the world. History paints us a detailed picture of how society, technology, and government worked way back when so that we can better understand how it works now.

Corrupt governments in this region have taken borrowed money designed to improve the economy and used it for personal gain.


Please select the best answer from the choices provided

T
F

Answers

Answer:

Its true

Explanation:

Just took the quiz...

Read the following sentences from the article.
1. Harris' victory made history
because it shattered some of the
barriers that have kept women
and people of color out of these
positions.
2. During the campaign, Harris
often described her run for vice
president as part of the legacy of
other Black women who came
before her.
3. Her parents later divorced, and
Harris's mother continued to
raise her and her sister.
4. San Francisco, California, Mayor
London Breed considers Harris a
mentor.
Which two sentences taken together provide the
BEST evidence to support the idea that Kamala
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Answers

2 and 3. The legacy of other Black women who came before her and the strength of her mother.

Question 9
What did the events of the Leo Frank case and its aftermath indicate about the Deep South in the years following Reconstruction?
A
Many southerners in the region were afraid that communists were living among them.
B
Many southerners in the region resented people they thought represented northern interests.
С
Many southerners in the region trusted African Americans more than they trusted Europeans.
D
Many southemers in the region were tired of the state failing to adequately punish white supremacists.

Answers

Answer:

B

Explanation:

The events of the Leo Frank case and its aftermath indicate that in the years following Reconstruction, Many southern in the region resented people they thought represented Northern interests. The correct option is b.  

Who is Leo Frank?

Leo Frank was an American factory superintendent who was convicted in 1913 of the murder of a 13-year-old employee, Mary Phagan, in Atlanta, Georgia. His trial, conviction, and appeals attracted national attention.

His lynching two years later, in response to the commutation of his death sentence, became the focus of social, regional, political, and racial concerns, particularly regarding antisemitism. Today, the consensus of researchers is that Frank was wrongly convicted and Jim Conley was likely the actual murderer. Born to a Jewish-American family in Texas, Frank was raised in New York and earned a degree in mechanical engineering from Cornell University before moving to Atlanta in 1908.

Marrying in 1910, he involved himself with the city's Jewish community and was elected president of the Atlanta chapter of the B'nai B'rith, a Jewish fraternal organization, in 1912.

Learn more about Leo Frank, here:

https://brainly.com/question/20859302

#SPJ2

Richard Russell:
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????:
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Answers

Answer:

D. Carl vinson

Explanation:

give away with the father of 2 ocean navy

Answer:

d

Explanation:

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