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

write some importance of historical past​

Answers

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.

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

A. Most of the surrounding countries have monarchies
B. Nobody would tell them how to be a democracy
C. There are too many political parties to get anything done
D. People are too tired from the war to care about government

Answers

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

Before Herodotus', how did Greeks explain the past?

Answers

Answer:

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

Explanation:

plz mark as brainliest

Answer:

Thereeee ya goooo

Explanation:

Can someone plz help me

Answers

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.
the kind realized the constitution limits his powers.

basically the picture is showing how he wants to do what he wants not what the constitution says.

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

Would you feather be an Athenian or a spartan

Answers

Answer:

Both

Explanation:

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...

what is Europes population ​

Answers

Answer:

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

Europe population is equivalent to 9.78% of the total world population.

Who is in charge if the President dies?

Answers

Answer:

The vice president (kamala harris)

then if they die, the speaker of the house of representatives (nancy pelosi)

then president of the senate (patrick leahy)

then secretary of state (antony blinken)

then secretary of the treasury (janet yellen)

then secretary of defense (lloyd austin)

Which of the following documents is a foundation for the American values of self-government and limited
power?
A. the English Bill of Rights
B. the Mayflower Compact
C. the Virginia Declaration of Rights
D. the Fundamental Orders of Connecticut
Please select the best answer from the choices provided
A
B
С
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.

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!)

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.

You are living in the US during the time period when the Confederate
States are being readmitted to the Union through specific guidelines set
up by the federal government. 3 new amendments , extending freedom
and rights, are being added to the Constitution. You are living in which
time period?*

Answers

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:

Where was BSE first detected in the mid 1980’s?
a.
United States
c.
Ruminitia
b.
British Columbia
d.
Britain


Please select the best answer from the choices provided

A
B
C
D

Answers

Answer:

D. Britain

Explanation:


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

Answers

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!!

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
Harris' role models include strong women?

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

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:

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


Please select the best answer from the choices provided


T
F

Answers

Answer:

True

Explanation:

Answer:

True

Explanation:

3. Why do you think that the soil is labeled “Europe”?

Answers

because it’s own continent and is separated from america

Which colony was founded by William Penn

Answers

Answer:

Pennsylvania is the answer

The province of Pennsylvania

Can someone PLEASE answer my last question.

Answers

Sure thing.


Explanation: I will do my best

Describe some of the treasures
found in King Tut's tomb. What
material was everything mostly
covered in?

Answers

Answer:

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

Explanation:

Richard Russell:
- United States Senator from Georgia
- Secured passage of the National School Lunch Program in 1946.
- Led a panel of five senators around the world to report on the condition of American soldiers during World War II

????:
- Served 25 terms in the House of Representatives
- Considered the "father of the two-ocean navy"
- Engineered and maneuvered multiple bills through Congress to expand the navy
Who fits the description?
A) William Hartsfield
B) Jimmy Carter
C) Lester Maddox
D) Carl Vinson

Answers

Answer:

D. Carl vinson

Explanation:

give away with the father of 2 ocean navy

Answer:

d

Explanation:

a country where the head of state is the president is called a?

Answers

It is the Prime minister.

What is stored at the National Archives?

Answers

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.”

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
A. Slaves were needed to build railroads and new cities in the west.

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:

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

HELPPPPP PLZZZS

Answers

A. Africa

It was mainly Africa but Asia was also dominated.

How did the slave trade impact both Africa and the Americas

Answers

Answer:

American it impacts positive and Africa is negitive

PLEASE HELP ASAP
what is a nymph

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.

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