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

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.

What effect did Travis letter have on the Texas Revolution?

Answers

A fan of dramatic writing, Travis understood the power of words. He addressed his letter to “All Americans in the world” specifically to inflame their patriotic passions and rally them to his cause and that of Texas. In so doing, he transformed the Texas Revolution into an American fight for liberty against tyranny.

What did Jomo Kenyatta do after being named the first prime minister of Kenya in 1963?
A. He immediately formed an alliance with the Soviet Union.
B. He worked with others to build a multiparty democracy.
C. He centralized government power and arrested opponents.
D. He suspended parliament and created a military autocracy

Answers

B- he worked with others to create a multiparty democracy

GRADE 5 SCIENCE MYA-2020-2021
Question: 1-2
Earth's galaxy contains billions of stars. Some stars appear brighter than others. Which of the following is the main reason that the Sun appears brighter from Earth than other stars in the galaxy?
Our Sun is a young star
Our Sun is closer to Earth,
Our Sun is a much larger star.
Our Sun is burning hydrogen

Answers

Answer:

our sun is closer to the earth.

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:

what does this cartoon have to say about the philippines role in american imperialism?​

Answers

I don’t see a picture or I would help you, i’m sorry

what were the two most common outcomes of states experiencing major protests,arab spring.

Answers

Answer:

Regime change and power vacuums opened up across the Arab world.

Explanation:

In many Arab countries for example Egypt, they demanded that the president of Egypt Hosni Mubarak step down, the Mubarak government was overthrown and a new establishment was implemented.

Power vacuums that were created in Libya were one of the any reasons why the nation is engulfed into a brutal civil war, other protests in Jordan, Kuwait, and Oman were not as bad.

Some nations like Jordan introduced a new democratic piece of their government.

Mr. Waterford sent our class an email asking for help with the recycling problem at WaterWorks Plant World. The park is dual functioning: not only is it a Water Park, but they grow and sell plants/ flowers for the customers as well. Due to the astonishing amount of plastic bottles that are being thrown away at their park, Mr. Waterford wants to find a better way. Rather than simply installing recycling bins for all of the water bottles, he’d like to get a little more creative. One popular idea that he found on the internet was to create bottle gardens from the discarded plastic bottles.
(Come up with an idea to solve Mr. Waterford’s problem )

Answers

Answer:

Use the bottles for an art project or statement piece.

Explanation:

You can glue the bottles together to create a trash stature. It may sound disgusting but they are really exquisite. Or you can do it simple by using the bottles for an arts and craft's project.. such as cutting our shapes and glueing then to a paper, painting each shape a different color, then putting it inside a frame. Or, you could use the bottles to make the frame. There are many ways to use the second "R". Reuse. You just have to find what fits best for your environment.

The first people to live in Washington were

farmers.
hunter-gatherers.
merchants.
explorers.

Answers

Answer:

European Explorers. have a nice day feel free to rate or thank

why do people turtore animal? ​

Answers

Answer:

there are different reasons. Some feel power when they do it, others want to harm something. Some serial killers practice on animals what they would do to their victims. most serial killers tortured animals when they were younger.

Answer:

Some who are cruel to animals copy acts they have seen or that have been done to them.

Explanation:

its really sad!!

PLEASE HELP WILL GIVE BRAINLIST Complete the following sentence about the antebellum period.
Southern politicians [Select]
slavery because enslaved
people were [ Select ]

Answers

Answer:

 

Explanation:

Those who defended slavery rose to the challenge set forth by the Abolitionists. The defenders of slavery included economics, history, religion, legality, social good, and even humanitarianism, to further their arguments.

Defenders of slavery argued that the sudden end to the slave economy would have had a profound and killing economic impact in the South where reliance on slave labor was the foundation of their economy. The cotton economy would collapse. The tobacco crop would dry in the fields. Rice would cease being profitable.

Defenders of slavery argued that if all the slaves were freed, there would be widespread unemployment and chaos. This would lead to uprisings, bloodshed, and anarchy. They pointed to the mob's "rule of terror" during the French Revolution and argued for the continuation of the status quo, which was providing for affluence and stability for the slaveholding class and for all free people who enjoyed the bounty of the slave society.

Defenders of slavery argued that the sudden end to the slave economy would have had a profound and killing economic impact in the South where reliance on slave labor was the foundation of their economy. The cotton economy would collapse. The tobacco crop would dry in the fields. Rice would cease being profitable.

Defenders of slavery argued that if all the slaves were freed, there would be widespread unemployment and chaos. This would lead to uprisings, bloodshed, and anarchy. They pointed to the mob's "rule of terror" during the French Revolution and argued for the continuation of the status quo, which was providing for affluence and stability for the slave holding class and for all free people who enjoyed the bounty of the slave society.

Answer: Southern politicians supported slavery because enslaved people were used on the large plantations in the South .

Explanation: I had the same question on a test and I got it correct! Does this mean I get branliest?

Other Questions
Explain in what sense risk in science and risk in technology are more or less subjective, when compared to risk that happens in our everyday life. I WILL MARK BRAINLIST PLEASE HELP!Describe how the motion of the particles within the popcorn changes as thermal energy is transferred. How do they start out? How does that change? What other transformations occur? 4x y = 7 3y 12x = 21 How did booker T Washington think that African Americans could gain equal rights PLEASE HELP I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!! THIS WILL GIVE YOU 60 POINTS!!!!!!!!!!!!!!!1. What causes Anne's mood to change from one day to the next?the mood of their helpersthe activities in the Annexher own thoughtsthe progress of the war2. What point of view should you use when writing a reflective essay?third-person point of view, which uses he or she to refer to the narratoromniscient point of view, which uses he or she to refer to the narratorfirst-person point of view, which uses I to refer to the narratorsecond-person point of view, which uses you to refer to the narrator3. If your goal in a reflective essay were to explain why certain events happened, what kind of organizational pattern would you use?chronological ordercause-and-effect orderproblem-solution ordercomparison/contrast order4. What can you do to keep your reflective essay focused and headed in the right direction? (Select all correct answers.)Carefully describe in great detail everyone who makes up your story.Select descriptive details that further your story line and help your readers visualize it.Offer reflections on several incidents in your life that taught you important lessons.Provide just enough background, or context, to help your reader understand the story.5. Which detail in the following sentence appeals to the sense of sight? It was Larry who responded, monkeying his way down from the top of the slide to snatch the Gobstoppers from me.respondedLarrydownmonkeying where do they get the boils on their bodies in the expedition List 3 metals that could replace lead in the compound Pb(NO3)2 in a single replacement reaction. PLZ HURRYWhen during the day should flowers be cut from the garden for use in fresh arrangements? Why? (1) The reason why men enter into society is the preservation of their property...(2) Whenever the legislators (try] to take away and destroy the property of thepeople, or to reduce them to slavery under arbitrary power, they put themselves ina state of war with the people, who are thereupon [freed] from any furtherobedience ...(3) [T]the people who have a right to resume their original liberty, and by theestablishment of a new legislative, provide for their own safety and security.Source: John Locke, An Essay Concerning the True Original, Extent and Endof Civil Government, XIX, Section 222How did the ideas in this passage influence the Founding Fathers?They decided to create a system of checks and balances.They decided to rebel against the British government.They decided to separate the powers of government among three branches.They chose to remain loyal to the King of England. Which of the following is a part of an organization's external environment? And the garbage flies buzz me awake is an example ofA) hyperboleB) personificationC) MetaphorD) Onomatopoeia Johnny has a circular flower bed. Its radius is 4 feet. Johnny wants to build a fence around the flower bed. What is the total length of the fence? what are the functions of each computer program Simplify:4y - 1/2 (-3/4+2/3y) What are some examples of symbolism in Sun, Moon, and Talia by Basile? In this case you have unlimited iron, but only 6.40 moles of oxygen (O2). How much Fe2O3 can you produce? Solve by Substitution:3x-2y = 4y = -2x + 5YALL PLZ HELP ILL DO ANYTHING Find the area of the composite figure. PLS HELP ILL GIVE BRAINLIEST!! What regions of the United States supported each party's and why?Help me pls