prove that sinx + siny +sinz - sin(x+y+z) = 4sin((x+y/2)sin((y+z/2)sin((z+x/2)​

Answers

Answer 1

We have to prove that,

sinx+siny+sinz-sin(x+y+z)=4sin((x+y)/2)sin((y+z)/2)sin((z+x)/2)

Keep in mind

LHS:

As, in a triangle , sum of all interior angles is 180°.

x+y+z=180°

x+y=180°-z

Similarly,

and, cos(x-y)+cos(x+y)=2 cos x cos y

=Sinx +Sin y +Sin z-sin (180°)

=Sin x +SIn y +Sin z-0


Related Questions


Notes on a line at or space SOUND the same as other notes on the same line or space.
True of False

Answers

Answer:

Melodically; True

Rhythmically; Depends

Explanation:

The answer should be true as it seems they are focusing on the melodic and harmonic characteristics of notes.

melodically yes!
depending on if it’s melodic, not sure if it is in the question if it is a melodic piece

The 1st evidence of decorative/symbolic art has been found at levels that date to ____ years ago. Group of answer choices 75,000 125,000 200,000 35,000

Answers

Answer:

I think the answer is 75,000

Explanation:

Hope this helped :)

Which point of view does the narrator use in the passage?

On the next morning the stone was on the breakfast table. It sat at his place, an accusation. Oscar's heart raced. He thought himself discovered. . . .
"A pretty stone," Theophilus said, after Oscar said grace.
"Yes, Father."
"Where did you find it?"
Theophilus was sprinkling sugar on his porridge. He had a sweet tooth. He sprinkled sugar quite gaily, giving no sign of the terrible anxiety that gripped him.

From Peter Carey, Oscar and Lucinda. Copyright 1988 by Peter Carey

First, second, or third person point of view

Answers

third person

because, it uses words like he, his, himself.

The narrator uses the third point of view in the passage. The narrator uses words like he, his or himself.

Who is a narrator?

A narrator is a specific person, or unspecified literary voice, developed by the creator of the story to deliver information to the audience, particularly about the plot and the series of events.

A narrator only exists in fictional texts or a narrative poem. A narrator may be a character in the text; however, the narrator does not have to be a character in the text. The point of a narrator is to narrate a story, to tell the story. What the narrator can and cannot see determines the perspective of the text and also determines how much the reader knows. A first-person narrator speaks from the first-person point of view. The first-person narrator’s commentary uses the pronouns “I/we,” “my/our,” “me/us,” “mine/ours.” A second-person narrator speaks from the second-person point of view.

The second-person narrator’s commentary uses the pronouns “you,” “your,” and “yours.”

Learn more about narrator, here:

https://brainly.com/question/17415359

#SPJ2

I need help drawing I'm not that good if u help ill mark brainliest

Answers

What are you drawing?

Maybe I can help.

The above painting is of King Henry VIII. Which artist painted this portrait? List three interesting facts you notice about the painting.

Answers

Answer: King Henry VIII takes up the majority of the canvas in order to display his power and importance;

His expensive and heavy clothes indicate his wealth;

the artists exaggerated his proportions in order to show his commanding presence and superiority; his facial expression is serious.

Explanation:

In 1913, W. T. Hornaday, director of the New York Zoo-logical Society, published a book titled Our

Vanishing Wildlife: Its Extermination and Preservation, in which he reported that the world's exotically

colored birds were being harvested to satisfy the exploding taste for feathered hats at a rate that

threatened the extinction of hundreds of species worldwide. The Cara Grande feathered mask makes

use of the same feathers that attracted Western feather hunters to the Brazilian jungles—and if feathered

hats had remained in fashion, it is doubtful that the birds whose feathers make up the mask would have

survived. How might the Tapirapé be justified in their use of these feathers in a way that the millinery

industry is not? Should the source of materials be a consideration in evaluating art?

Answers

Answer:

values textures

Explanation:

Which of the following describes a SMART goal?
Specific
Timely
Achievable
Measurable
All of the above

Answers

Answer:

All of the above

Explanation:

It should be Specific, Measurable, Attainable, Relevant, and Time-based

Like it? I made more adjustments

Answers

Answer:

This is beautiful

Explanation:

Thank you for enlightening me with this masterpiece

True or False - The Middle Ages was a period during which Christianity flourished in Europe.

Answers

Answer:False

Explanation:

Logical guess

The correct answer is TRUE

during the middle ages, christianity (more specifically catholicism) brought new perspectives of life and traditions that rejected the older views of the ancient world


Principles of Human Services Class!

True or False questions

People remember as little as 50% of the information in
a message.

People are more likely to remember a message they
hear if they do not repeat it.

A blue-green shirt paired with a navy blue skirt is an
analogous color scheme.

If an invitation indicates formal wear is required, men
should wear jeans and women, shorts.

A dress code is a standard of dress enforced in a social
setting.

Dry cleaning is a process that cleans clothes with
organic chemical solvents and water.


Answers

Answer:

true,false,true,true

Explanation:

i think but i am not really sure i hope this helps.

Match the basic components of a character to their description
the curved stroke surrounding
a counter
the lowercase character stroke
extending above the x-height
the curved stroke coming
from the stem
the imaginary horizontal line
aligning the bodies of the characters
the empty space inside the
body stroke
shoulder
ascender
counter
bowl
baseline

Answers

Answer:

Shoulder: the curved stroke coming from the stem

Ascender: the lowercase character strike extending above the x-height

Counter: empty space inside the body stroke

Bowl: the curved strike surrounding a counter

Baseline: the imaginary horizontal line slinging the bodies of the characters

Explanation:

PLATO

According to the given data the correct match are:

Shoulder -  the curved stroke coming from the stem.Ascender -  the lowercase character strike extending above the x-height.Counter -  empty space inside the body stroke.Bowl - the curved strike surrounding a counter.Baseline -  the imaginary horizontal line slinging the bodies of the characters.

What do you mean by the curved stroke?

Any line that is bent and not straight is said to be curved. It should be seamless and continuous. In other words, a curve is a set of points that resembles a straight line that passes through two adjacent locations.

The straight line has zero curvature, as far as we are aware. Consequently, a line is said to be curved if its curvature is greater than zero. The numerous kinds of curved lines are displayed in the accompanying figure.

Therefore, according to the given data the correct match are:

Shoulder -  the curved stroke coming from the stem.Ascender -  the lowercase character strike extending above the x-height.Counter -  empty space inside the body stroke.Bowl - the curved strike surrounding a counter.Baseline -  the imaginary horizontal line slinging the bodies of the characters.

To know more about the curved stroke, visit:

https://brainly.com/question/13600759

#SPJ5

Angela is writing a character analysis about the main character in White Fang.

A web graphic. Five blank circles with arrows point to a center circle, also blank.

As she uses this graphic organizer to help her prewrite the analysis, which idea should she write in the center bubble?

Answers

Answer:

d

Explanation:

How are the artistic styles of India, Nepal, and Tibet different?

Answers

They are marked by religious symbols that differ by regions.

The artistic styles of India, Nepal, and Tibet different they are marked by religious symbols that differ by regions.

What is the region?

The term "region" refers to the area of a particular territory. It is contained inside the nation's established boundaries. The region is quite cohesive both geographically and among the populace. To categorize the area, formal, functional, and perceptual criteria are used.

According to the artistic styles of India, Nepal, and Tibet, religious symbols varies by area. The artists are Newars, or Mongoloids, who are ethnically distinct from, but partially admixed with, the persons of India. Nepalese architectural style differed depending on its role as a personal home, royal, Buddhist school, or Buddhist or Hindu temple.

As a result, artistic styles of India, Nepal, and Tibet different they are marked by religious symbols that differ by regions.

Learn more about it on region, here:

https://brainly.com/question/13162113

#SPJ6

Which of the following is best described as an inkling?

A. A firm belief
B. A doubtful opinion
C. A cultivated skill
D. A faint suspicion

Answers

Answer:

its letter B .. a doubtful opinion

Answer:

The correct answer is D a faint suspicion

How does this image of an American flag being placed at Iwo Jima after the most infamous battle in the Pacific during WWII, use symbolism to commemorate, document, and narrate an event in history?

Answers

Answer: An American Flag being placed in Iwo Jima uses symbolism to commemorate and document and narrate all by placing a flag because it signifies that America has won.

Explanation:This basically means that when a flag is place by the other or opposing team it signifies that the other team has conquered or forced the other team to forfeit and this flag is used a symbol to show it and by doing that it marks history and indirectly narrates the event.

True or False - Gothic architects developed a system of stone ribs to distribute the weight of the
vault onto columns and piers.

Answers

Answer:true I think it is

Answer:

true

Explanation:

because gothic architects developed a system

Will mark brainlest!
In photography, value relates to
the cost of making a photograph
what critics think of a photograph
the use of light and dark for contrast
the uniqueness of the photograph’s subject
PLZ HURRYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Answers

Answer:

Ithink =it is the use of light and dark for contrast

Explanation:

Answer:

The use of light and dark for contrast aka C have a good day :)

Explanation:

What is bhakti?
a.
a type of devotional art that depicts the Buddha on large hand-woven panels
b.
a Hindu manuscript
c.
a Hindu devotional movement
d.
a scroll-like painting of Hindu gods

Answers

Answer:

A. a type of devotional art that depicts the Buddha on large hand-woven panels

Explanation:

devotional worship directed to one supreme deity, usually Vishnu (especially in his incarnations as Rama and Krishna) or Shiva, by whose grace salvation may be attained by all regardless of sex, caste, or class. It is practiced by the majority of Hindus today.

Hope this helps!

From Hindu events and texts, we know that the Bhakti is c. a Hindu devotional movement.

What is the Bhakti?

This is a movement in Hinduism that places hug value on the importance of being devoted to a deity.

This deity would be the personal god of the person who is showing them devotion. The movement calls for the devotee to love their deity.

In conclusion, option C is correct.

Find out more on Hinduism at https://brainly.com/question/25688796.

Now from the top
make it drop
you spilled some orange juice
get a bucket and a mop
and clean up dat orange juice
im talking orange orange orange
clean that orange juice
macoroni in a pot
bruh.......

I SAID CLEAN UP THAT ORANGE JUICE WHY U STILL HEREEE

Answers

*cleans while sobbing*

Describe a difference in the Dixie Band and the Wind Band performances of High Society March?

Answers

Answer:

Bands in the 19th century had an enormous impact on the cultural and social lives of the populace of the United States. It was a time when brass bands impacted the war effort perhaps more than any time since the Saracen bands of the Ottoman empire. The golden age of professional bands was ushered in with the music of Patrick Gilmore, John Philip Sousa, and the Italian Giuseppe Creatore, to name a few. Plus, many civic bands were formed to provide performance outlets for the populace in general. It was a rich and colorful time in America's music history.

Explanation:

What does this painting depict?
The Last Supper.



I will give you the brainliest

Answers

Answer:

this painting depicts Jesus' disciples eating with him, and Jesus is in the middle. if you look at the painting itself, you could slowly inspect the painting and list everything and anything you see. :)

The small clay or plaster models made by sculptors in preparation for larger sculptures are called ________.

Answers

Answer:

Marquette

Explanation:

Answer:

marguate

Explanation:

Why is it important for an artist to analyze and revise their artwork? How does practice help with revisions? Use details to support your answer.

Answers

It’s important because you want to make sure your adding as much details to your work as possible like shading

Which parts are combined on the bass clef in a typical choral score?
A. S/A
B. T/B
C. A/B
D. S/T

Answers

Answer: T / B (tenor/bass) are the parts combined on the bass clef in a typical choral score.


1. The Hagia Sophia was constructed during the reign of the emperor
2. The classical world ended with the fall of the
3. was a major influence on art and architecture in Byzantium.
4. To avoid persecution, Christians hid in the
5. Alan symbolizes ichthys, which stood for "Jesus Christ, Son of God Savior."
6. The classical society of Rome weakened as filled its cities and provinces.
7. Byzantine styles of art were influenced by the Greek culture left behind by
8. The is a body of civil law that's still used in some places in Europe.

Answers

Answer:

Justinian

Western Roman Empire

Christianity 

catacombs

fish

foreigners

Alexander the Great

Code of Justinian

Explanation:

The Hagia Sophia was constructed during the reign of the emperor Justinian I in the 6th century AD.

The classical world ended with the fall of the Western Roman Empire in 476 AD.

Greek culture was a major influence on art and architecture in Byzantium.

To avoid persecution, Christians hid in the catacombs during the early Roman Empire.

The fish symbol (ichthys) represented "Jesus Christ, Son of God, Savior" for early Christians.

The classical society of Rome weakened as barbarian invasions filled its cities and provinces.

Byzantine styles of art were influenced by the Greek culture left behind by the Eastern Roman Empire.

The Justinian Code is a body of civil law that is still used in some places in Europe.

The Hagia Sophia is a remarkable architectural achievement and a representation of Byzantine art and culture that was built during the rule of Emperor Justinian I. Visitor's are still in awe of it today because of its enormous dome and creative structural layout. While the Eastern Roman Empire or Byzantium preserved and developed Greek cultural influences the fall of the Western Roman Empire signaled the end of the classical era.

Early Christians fled persecution during the early years of the Roman Empire by hiding in catacombs. The fish symbol  which stands for Jesus Christ came to represent their faith. Barbarian invasions that populated the Roman Empires provinces and cities are to blame for its eventual disintegration. Greek heritage and the distinctive characteristics of Byzantine art were combined in a distinctive manner that left a rich and enduring artistic legacy. A collection of laws known as the Justinian Code is still used and respected in some regions of Europe.

learn more about Hagia Sophia here

brainly.com/question/11718264

#SPJ2

Which point of view does the narrator use in the passage?

Harry didn't know anything about the wizard prison, though everyone he'd ever heard speak of it did so in the same fearful tone. Hagrid, the Hogwarts gamekeeper, had spent two months there only last year. Harry wouldn't soon forget the look of terror on Hagrid's face when he had been told where he was going, and Hagrid was one of the bravest people Harry knew.

From J. K. Rowling, Harry Potter and the Prisoner of Azkaban. Copyright 1999 by J. K. Rowling

First, second, or third person point of view

Answers

Answer:

thrid person

Explanation:

What was the key feature of the printing press that enabled information to be mass produced for the first time? a.) Open Type b.) Monospaced type c.) True Type d.) Movable type​

Answers

Answer:

D

Explanation:

Movable type​ was the key feature of the printing press that enabled information to be mass produced for the first time. Hence, option D is correct.

What is Movable type​?

: printing type made comprised of individual parts, usually each carrying one letter or other character, allowing the pieces to be freely put together or taken apart to print any desired line or combination.

A printing press is a device that uses ink to transfer text and images from moveable type to paper or other media. The first known existing book printed with moveable type was produced in Korea in the 14th century. Movable type and paper were both established in China.

A moveable object can be moved from one location or position to another. The doll is made of vinyl and has moving limbs and legs. The wood fence can be moved.

Thus, option D is correct.

For more information about Movable type, click here:

https://brainly.com/question/15601665

#SPJ2

hey you want point be the first one then tell me ok....

Answers

Ok..........................._...........................

Answer:

i cant comprehend this i dont know why

Explanation:

When writing an objective summary, what type of word (or phrase) comes at the beginning of each main idea?

Answers

The author gives supporting information first and then makes the point in the last sentence.

Which of the follloing statements aren't true??

Answers

Answer:

I would go with A, but wait till some one else answers

Explanation:

Other Questions
PLEASE HELP 25 POINTS !!!!!!!!!!!!!!!! Add the following numbers and round your answer to the correct number of significant figures:90.0 + 80 =Show both the unrounded and rounded answer. Determine what causes the PPF to take that shape. There is only one factor of production and it cannot be used in both sectors at the same time. Factors of production used to produce widgets cannot be used to produce gizmos, and vice versa. Factors of production can be shifted from widget production to gizmo production with no change in productivity. Factors of production can be used in either widget or gizmo production, but some are more productive at producing widgets and some are more productive at producing gizmos. One of the atmospheric layers was created by living things to help keep living things alive. What is that layer? * exosphere*tropopause*ozone*thermosphere A bag contains 8 red marbles, 7 blue marbles and 2 green marbles. If two marbles are drawn out of the bag, what is the exact probability that both marbles drawn will be green? Which statement would the character Grendel MOST likely agree with, based on his outlook on life?A). Life is determined by choices and free willB). Life is meaningless and completely randomC). Life is angry and means to punish the wickedD). Life is strategic in blessing the good Can you guys help me with this problem please. Any kind of help would be appreciated. Thank you. What is the slope of this line?A. 13B. 23C. 23D. 13 Judd, Inc., owns 35% of Cosby Corporation. During the calendar year 2021, Cosby had net earnings of $300,000 and paid dividends of $30,000. Judd mistakenly recorded these transactions using the fair value method rather than the equity method of accounting. What effect would this have on the investment account, net income, and retained earnings, respectively whats the equation for Drake has a total of $18. He spends $12 on a sandwich. He spends the rest of his money on candy bars (c) . Each candy bar is $1. How many candy bars did he buy? Help pleaseeeThe study of external behavior is calledA)CognitionB)NeuroscienceC)BehaviorismD)Biology 3. A certain brand of breakfast cereal increases its price by 20%, while other brands keep their prices unchanged. The quantity of cereal sold by the brand that increases its price declines, and the quantity sold by the other brands increases. In this case, the cross price elasticity of demand between the cereal of the brand that increases its price and the cereals produced by other brands is: Read the passagestress can strike anytime find the interest rate 4) Amanda can pick 10 apples a minute. Cheryl can only pick 8 apples a minutebut she has already picked 18 apples. WRITE AND SOLVE an equation todetermine how long it will take for them to have the same number of apples. describe the scene when a teacher was away. Please help ill give brainly thingy List some of the items traded by the Egyptians to the Phoenicians during the New Kingdom. a. Solve for c: E = mc2 Which statement BEST summarizes the information presented in this map?A)Many nations refuse to trade with the United States.B)The value of US exports exceeds the value of imports.C)The U.S. has free trade agreements with many foreign nations.D)Europe is the most important participant in free trade with the U.S. Allison has a horse stall cleaning business that has been growing rapidly since she started it three years ago. She estimates the total number of horse stalls in her market to be 5000, owned by a total potential population of 1500. Currently, there are only two competitors in the market, Allison, who has 407 stalls that she cleans, and Sam's Hayfaring Maneger, that cleans 1,220 stalls. The remainder of the stalls are cleaned by their owners rather than by a service. Allison prices her cleaning services at $8 per stall per month and Sam charges $8 for the same service. Allison's sales are derived from 129 customers while Sam's are from 69 customers, meaning that Sam's customers have more stalls on a per capita basis.What is the market penetration rate based on potential customers?