Use trigonometric identities to verify each expression is equal. csc2(x) - 2csc(x)cot(x) + cot2(x) = tan2(x/2)
By definition of csc and cot,
csc²(x) - 2 csc(x) cot(x) + cot²(x) = …
… = 1/sin²(x) - 2 cos(x) / sin²(x) + cos²(x) / sin²(x)
Combining fractions,
… = (1 - 2 cos(x) + cos²(x)) / sin²(x)
Factorize the numerator and use the Pythagorean identity,
cos²(x) + sin²(x) = 1,
to rewrite the denominator.
… = (1 - cos(x))² / (1 - cos²(x))
Cancel a factor of 1 - cos(x).
… = (1 - cos(x)) / (1 + cos(x))
Using the half-angle identities,
sin²(x) = (1 - cos(2x))/2
cos²(x) = (1 + cos(2x))/2
it follows that
1 - cos(x) = 2 sin²(x/2)
1 + cos(x) = 2 cos²(x/2)
and so
… = (2 sin²(x/2)) / (2 cos²(x/2))
… = sin²(x/2) / cos²(x/2)
Finally, by definition of tangent,
… = tan²(x/2)
Which of these is a possible translation of "montevideo"?.
Answer:
D ''i see a mountain''
Explanation:
A set of ordered pairs in which each input has exactly one output is called a.
Answer:
The set of input values is called the domain.
Which of the following describes the effect of high altitude on climate.
The statement which best describes the effect of high altitude on climate is: temperatures are lower.
A climate can be defined as the long-term average atmospheric conditions (weather) that is prevailing in a geographical region and persists for a very long period of time.
Generally, some of the factors that affect the climate of a geographical region include the following:
Earth surfaceTopographyGlobal wind patternsLatitudeAtmospheric pressureAltitude (elevation).According to meteorologist, an effect of high altitude on climate is that the temperatures in the particular geographical region are lower, especially due to the height of this region above sea level.
In conclusion, an effect of high altitude on climate is colder temperatures in a particular geographical region.
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Muriel told shana that one of the products in the table was incorrect. Which value in the table is incorrect? what is the value shana should have written?.
The product of expressions or numbers is calculated by multiplying the expressions or numbers.
The incorrect value in the table is [tex]-2y[/tex]The value that should have been written is [tex]-2xy[/tex]From the table (see attachment), the incorrect product is given as:
[tex]-y \times 2x = -2y[/tex]
The above product is incorrect.
This is so because when -y is multiplied by 2x, the result is [tex]-2xy[/tex]
So, the correct expression is:
[tex]-y \times 2x = -2xy[/tex]
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Answer:
Shana used a table to multiply the polynomials 2x + y and 5x – y + 3. Her work is shown below.
A 3-column table with 2 rows. The first column is labeled 5 x with entries 10 x squared, 5 x y. The second column is labeled negative y with entries negative 2 y, negative y squared. The third column is labeled 3 with entries 6 x, 3 y. The first row is labeled 2 x and the second row is labeled y.
Muriel told Shana that one of the products in the table was incorrect.
Which value in the table is incorrect?
✔ –2y
What is the value Shana should have written?
✔ –2xy
Explanation:
Byron earns $11. 00 per hour. How many hours will byron have to work to earn $143. 00? 7. 7 hours 13. 0 hours 14. 3 hours 15. 7 hours.
Answer:
10 pages
Explanation:
Which of the following graphs could be the graph of the function f(x) = x3 + 8? mc019-1. Jpg mc019-2. Jpg mc019-3. Jpg mc019-4. Jpg.
Functions can be represented using equations, graphs and tables.
The graphs are not given.
So, we simply plot the graph of the given function.
The function is given as:
[tex]f(x) = x^3 + 8[/tex]
When x = 1, we have:
[tex]f(1) = 1^3 + 8[/tex]
[tex]f(1) = 9[/tex]
When x = 2, we have:
[tex]f(2) = 2^3 + 8[/tex]
[tex]f(2) = 16[/tex]
When x = 3, we have:
[tex]f(3) = 3^3 + 8[/tex]
[tex]f(3) = 35[/tex]
When x = 4, we have:
[tex]f(4) = 4^3 + 8[/tex]
[tex]f(4) = 72[/tex]
Represent the above results as a table, we have:
x f(x)
1 9
2 16
3 35
4 72
See attachment for the table of [tex]f(x) = x^3 + 8[/tex]
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Which biome is characteristic of central sub saharan africa nearest the equator.
There are different kinds of Biomes. The biome characteristic of central Sub-Saharan Africa nearest the equator is Tropical Rainforests.
The Tropical rainforests are known to be a type of rainforests that is found in regions of tropical rainforest climate, this is where there is no dry season all through out the year.
All year round do have an average precipitation of about 60 mm. They are often called lowland equatorial evergreen rainforest.
Some Popular Rainforests around the World are;
Amazon Rainforest, which is found in South America. Congo Rainforest, which is found in Africa. Valdivian Temperate Rainforest, which is found in South America.See full question below
Which biome is characteristic of central Sub-Saharan Africa nearest the equator?
answer choices
Taiga
Desert
Savannas
Tropical rainforests
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using the words from the word list name all the parts of the isosceles
Marsman inc's latest eps was p2. 75, its book value per share was p22. 75, it had 280,000 shares outstanding, and its debt ratio was 44%. How much debt was outstanding?.
Based on the EPS and the book value, as well as the shares outstanding, the amount of debt is P5,005,000.
First find the total equity:
= Shares outstanding x Book value per share
= 280,000 x 22.75
= P6,370,000
Use that to find the total assets:
= Total equity / (1 - Debt ratio)
= 6,370,000 / ( 1 - 0.44)
= P11,375,000
The total debt is therefore:
= Total assets - Total equity
= 11,375,000 - 6,370,000
= P5,005,000
In conclusion, the total debt is P5,005,000.
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Which of the following statements is true about blood alcohol content.
Explanation:
hope this will helps you
What is 3x3 – 11x2 – 26x + 30 divided by x – 5? 3x2 – 4x + 6 3x2 + 4x – 6 3x2 + 26x + 8 3x2 – 26x + 8.
The perimeter of the figure below is 113.7 cm.
Find the length of the missing side.
The length of the missing side it 8.8.
Explanation:Since we know the equation, we can find the missing side.
=> 113.7 = 38.2 + 2(7.9) + 19.1 + 3(10.6) + x
=> 113.7 = 38.2 + 15.8 + 19.1 + 31.8 + x
=> 113.7 = 104.9 + x
=> x = 8.8
Conclusion:Therefore, the length of the missing side it 8.8.
Hoped this helped
[tex]BrainiacUser1357[/tex]
Translate: i am hungry. Yo soy hambre. Yo estoy hambre. Yo tengo hambre. Yo es hambre.
Happy Holidays!
Yo tengo hambre.
Yo = I
Tengo = have (I form)
Hambre = hunger
Even though this literally translates to "I have hunger", this expression is used to say the equivalent "I am hungry".
The correct translation of "I am hungry" in Spanish is: "Yo tengo hambre."
Thus, option (c) is correct.
"Yo soy hambre" is not the correct translation.
In Spanish, "soy" means "am" and "hambre" means "hungry," but they are not used together in this context to mean "I am hungry."
"Yo estoy hambre" is also not the correct translation.
"Estoy" means "am" and "hambre" means "hungry."
However, in Spanish, the correct way to express hunger is by using the phrase "tener hambre."
"Yo tengo hambre" is the correct translation.
"Tengo" means "I have," and "hambre" means "hunger."
So, "Yo tengo hambre" translates directly to "I have hunger," which is the equivalent of "I am hungry" in English.
The phrase "Yo es hambre" is not grammatically correct in Spanish.
Thus, option (c) is correct.
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#SPJ3
According to the age of revolution tab, who were the shakers, and what was one of their influences in this era of music?.
When earth and moon are separated by a distance of 3. 84.
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Explanation:
A food establishment that serves oysters should have what.
A food establishment that serves oysters should have a proper storage
system and shuckers.
An establishment that serves this sea animal must have shuckers . They help
in the process of removal of shells of the oyster so as to ensure it is properly
processed and edible.
They must also have a proper storage system in order to prevent spoilage,
reduce wastage and increase profit of the food establishment.
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Answer:A variance approved by the local regulatory authority
Explanation:
About half the world’s languages are well on their way to becoming extinct. Many anthropologists think that the extinction of these languages will be a great loss. Do you agree or disagree? Why?
Yes because the languages are the reason the development of culture anywhere exists.
Read the excerpt from the diary of a young girl. So there we were, father, mother and i, walking in the pouring rain, each of us with a schoolbag and a shopping bag filled to the brim with the most varied assortment of items. The people on their way to work at that early hour gave us sympathetic looks; you could tell by their faces that they were sorry they couldn't offer us some kind of transportation; the conspicuous yellow star spoke for itself. What is the mood of this excerpt?.
The mood of this excerpt is: Distressing.
The mood is the feeling that the reader senses after reading the description of events in a story.
In the story above, we can see that there is a mood of distress caused by the immediate suffering of the family who was under terrible weather. Their inability to be helped by others worsened their conditions.
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this has a great function in the development of arts not only in east asia but all over the world
The answer is East Asian Art, which is a visual or performing arts in China and Korea.
What caused the february revolution of 1917 brainly.
Answer:
Russia disastrous involvement in world war l
This is the immediate cause of the February Revolution
which statement best describes how the author uses language in the passage? the author uses metaphor and simile to compare autumn to various elements found in nature. the author uses apostrophe to help the reader form an objective, detached view of autumn. the author uses a simple, logical style to explain to the reader what autumn is really like. the author uses imagery and personification to make autumn seem friendly and generous to the reader.
There are different kinds of Language. The statement that best describes how the author uses language in the passage is that the author uses imagery and personification to make Autumn seem friendly and generous to the reader.
Personification is simply known to be used when one wants to use human qualities on an object e.g. Close bosom-friend of the maturing sun
Imagery is simply known to be used also to describe something using things that people don't know especially those that have not seen or heard of it. e.g. With fruit the vines that round the thatch-eves run.
See full question below
Read the passage from "To Autumn."
Season of mists and mellow fruitfulness,
Close bosom-friend of the maturing sun;
Conspiring with him how to load and bless
With fruit the vines that round the thatch-eves run;
To bend with apples the moss'd cottage-trees,
And fill all fruit with ripeness to the core
Which statement best describes how the author uses language in the passage?
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Answer:
A.
Explanation:
The author uses metaphor and simile to compare autumn to various elements found in nature.
Fill in the blank with the correct number to balance the equation: 4cr + 3o2 → cr2o3. (enter only a whole number. ).
Answer:
4Cr + 3O2 -----------> 2Cr2O3
Explanation:
We need to balance both the sides of the equation, that is, number of moles of reactants should be equal to the number of moles of products. So,
4Cr + 3O2 -----------> 2Cr2O3
Comparing the moles of elements, we see that the equation is now completely balanced.
Hope it helps :)
which of the following 1920s topics frequently appeared in the writing of the lost generation? select the two correct answers.
Answer:
A culture of consumerism
D aftermath of World War I
Explanation:
What three things do you need for thunderstorm formation.
Answer:
Moisture,Instability, and a lifting mechanism.
An organization is conducting their first program increment planning session, and the new teams are asked to provide their capacity. Which action is part of the initial capacity planning process?.
Based on the given information, action is part of the initial capacity planning process are;
Find a small story that takes about a day to develop and call it a one. Subtract one point for every team member's vacation day, public holiday or training day.Use eight points per person (adjust for part-time employees.According to the question, an organization is conducting their first program increment planning session and we are to discuss the action that is capacity planning process.
As a result if this we can say that , Using of eight points per person (adjust for part-time employees will be regarded as capacity planning process.
Therefore, action that is part of the initial capacity planning process is to find a small story that takes about a day to develop.
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which country or countries fall under the heading of ledc? where in the demographic transition stages would you place the country or countries you selected?
Answer:D)
Explanation: just had that question
Please select the word from the list that best fits the definitionrate.
Answer:
Where is the list? Please, give the picture?!
What evidence weakens the counterclaim in this paragraph? the internet is only as invasive as one allows it to be. Exercising caution is the best way to protect one’s privacy online. Some states have already enacted online privacy laws. It is the individual’s fault when personal information is unprotected.
Answer: What evidence weakens the counterclaim in this paragraph? the internet is only as invasive as one allows it to be. Exercising caution is the best way to protect one’s privacy online. Some states have already enacted online privacy laws. It is the individual’s fault when personal information is unprotected.
Explanation:
Answer:D!
Explanation:
When faxing sensitive compartmented information.
In Cybersecurity, when faxing a sensitive compartmented information (SCI), the actions you should take include:
1. Mark the sensitive compartmented information (SCI) documents appropriately.
2. Use an approved sensitive compartmented information (SCI) fax machine.
A sensitive compartmented information (SCI) can be defined as a United States program that was established to segregate classified information concerning or derived from methods, analytical processes and intelligence sources, into distinctive compartments for added protection when disseminated or distributed.
Generally, the dissemination of information of all sensitive compartmented information (SCI) documents must be handled within formal access control systems and directives of the Director of National Intelligence.
Based on national intelligence, when faxing a sensitive compartmented information (SCI), the actions you should take include:
Mark the sensitive compartmented information (SCI) documents appropriately.Use an approved sensitive compartmented information (SCI) fax machine.Read more on SCI here: https://brainly.com/question/25194168