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)
At a football game, the ratio of filled seats to empty seats was 7 to 3. The capacity of the stadium is 70,580. How many seats were filled for the game?.
The number of seats in the stadium that were filled for the game is equal to 49,406 seats.
Let the filled seats be F.Let the empty seats be E.Given the following data:
Stadium capacity = 70,580.Ratio of F to E = 7:3Total ratio= 7 + 3 = 10To determine the number of seats in the stadium that were filled for the game:
Mathematically, the number of filled seats in the stadium is given by this expression:
[tex]F = \frac{7}{10} \times 70580\\\\F=0.7 \times 70580[/tex]
F = 49,406 seats.
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Why did the elephant jump up and down riddle answer.
Explanation:
because he was thirsty?
or was he doing some exercise?
><
Answer:
Because he saw a mouseExplanation:
Well first of all, the elephant can't jump... so yeah... the questions itself is WRONG
How many terms are in the binomial expansion of (3x + 5)9?.
Answer:
10 terms
Explanation:
For (ax + b)ⁿ, there will be (n + 1) terms;
Easy way to remember this is to think of the basic example (x + 1)¹, which has a binomial to the power 1, and 2 terms;
Similarly, the example of (x + 1)² has the binomial to the power 2 and 3 terms.
When hydrogen reacts with calcium metal what are the oxidation number.
Answer:
the oxidation number is +2
Which topic is suitable for the size and scope of a five paragraph essay.
Answer:
essay on economic availability of the country
A player pays $15 to play a game in which a chip is randomly selected from a bag of chips. The bag contains 10 red chips, 4 blue chips, and 6 yellow chips. The player wins $5 if a red chip is selected, $10 if a blue chip is selected, and $20 if a yellow chip is selected. Let the random variable x represent the amount won from the selection of the chip, and let the random variable w represent the total amount won, where w=x−15. What is the mean of w ? $10. 50 answer a: $10. 50 a $4. 50 answer b: $4. 50 b −$4. 50 answer c: negative 4. 50 dollars c −$6. 50 answer d: negative 6. 50 dollars d −$10. 50.
The mean of the random variable w that represents the total amount won is; -$4.50
We are given quantity of chips inside the bag as;
Number of red chips = 10Number of blue chips = 4Number of Yellow chips = 6Total number of chips = 20
Thus;
P(Red chips) = 10/20 = 0.5P(blue chips) 4/20 = 0.2P(Yellow Chips) = 6/20 = 0.3Amount won from the selection of Red Chip = 0.5 * $5 = $2.5
Amount won from the selection blue Chip = 0.2 * $10 = $2
Amount won from selection of yellow chip = 0.3 * $20 = $6
Thus;
x = $2.5 + $2 + $6
x = $10.5
We are told that total amount won is gotten from;
w = x − 15
Thus;
w = 10.5 - 15
w = -$4.50
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On interval 0 ≤ x < 2π, where are the x-intercepts of y = cos(2x)? startfraction pi over 2 endfraction and startfraction 3 pi over 2 endfraction 0, π, and 2π startfraction pi over 2 endfraction, pi and startfraction 3 pi over 2 endfraction.
The x-intercepts of y = cos(2x) in the interval 0 ≤ x < 2π are π/4 and 7π/4
The x-intercepts of y = cos(2x) are gotten when y = 0.
So, y = cos(2x)
cos(2x) = 0
Taking inverse cos of both sides, we have
cos⁻¹cos(2x) = cos⁻¹(0)
2x = π/2
Dividing both sides by 2, we have
x = π/4
So, the other angle in the range 0 ≤ x < 2π is x = 2π - π/4 = 7π/4
So, the x-intercepts of y = cos(2x) in the interval 0 ≤ x < 2π are π/4 and 7π/4
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Answer: D
Explanation:
D on Edge
A "sentiment" is a feeling or belief. Based on the meaning of this word, what is wilson’s message in this sentence?.
Based on the meaning of the word "sentiment", Wilson's message is the following:
Americans should avoid thoughts, beliefs, and actions that are partial.This exercise has three options to choose from that I was able to find online as well as the message:
A) Americans should only worry about their actions, not their beliefs. B) Americans should avoid thoughts, beliefs, and actions that are partial. C) Americans should feel free to prefer one side to another.The correct option is B.
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Which principal energy level of an atom contains an electron with the lowest energy?.
Three hunters are walking single file. Which of the following would be safe?.
There are different steps to follow in ensuring safety with firearms. The safer step to follow is that the hunter in the front uses the elbow carry.
When hunting, If three hunters are walking single file, it is better for the hunter in the front should have the gun facing ahead but he or she should never carry it over the shoulder.
The Hunter in the middle must also have the gun facing sideways while the last one who is at the rear should face or point the gun to any side or the rear be it left or right.
See full question below
Three hunters are walking single file. Which of the following would be safe?
A. The hunter in the center uses the elbow carry.
B. The hunter in front uses the elbow carry.
C. All three hunters use the trail carry.
D. All three hunters use the shoulder carry.
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Earth's internal heat source concept map.
It should be noted that the internal heat source of the Earth provides the energy that the Earth needs.
The flow of the internal heat of the Earth is typically outward towards the surface of the Earth.
The sources of heat in the Earth include the heat gotten when the planet forms, frictional heating, and the heat that is gotten from the decay of the elements that are radioactive.
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Unlike most of the asian population most europeans live.
Answer:
yes almost Indian half of the population is more the america
Unlike most of the Asian population, most Europeans live in cities. The correct option is B.
What are Asians and Europeans?Asians are a group of people (not an ethnic category). The United States Census Bureau, the federal government, and the majority of state governments all include India and the whole Indian subcontinent in their data collection efforts.
According to the United Nations, more than half of the population of Europe was living in an urban location by 1950. Previously, Europe was primarily a rural, agricultural region.
Europe, which lies wholly in the Northern Hemisphere, is the westernmost part of the Eurasian landmass. Europe is home to a number of major islands, including Iceland and the British Isles, which include the UK and Ireland.
Therefore, the correct option is B. in cities.
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#SPJ5
The question is incomplete. Your most probably complete question is given below:
A. in suburbia
B. in cities
C. In rural areas
D. Away from the water
What is the simplified form of ? 5000 5000 100 100.
Answer:
Your answer is 100x³², or D!
Explanation:
Please mark me brainliest!
Have an amazing day/night!
Which of the following is a criticism of piaget's cognitive development theory?.
Answer:
ANSWER IS
Explanation:
The cognitive stages are not as fixed or rigid as Piaget proposed. ... Piaget may have underestimated the role that parents and other people play in a child's intellectual development. Some psychologist believe that we can 'hothouse' children so they develop at a quicker rate. Piaget ignored different kinds of thinking.
What is the main idea presented in the passage? tattoos can cause infections through dirty needles. The safety of tattoo inks has not been studied enough. Getting a tattoo is a very high-risk activity that is not recommended. The fda controls and licenses tattoo parlors.
Answer:
The safety of tattoo inks has not been studied enough.
Explanation:
Just took the test.
The main idea presented in the passage is the safety of tattoo inks has not been studied enough. The correct option is B.
What are tattoos?A tattoo is a type of body modification that involves introducing permanent or temporary tattoo ink, dyes, and/or pigments into the dermis layer of the skin. The justifications for getting tattoos have changed over time and across the globe.
They include creative expression, permanent cosmetics, for protection or as a source of power, for religious purposes, as a sign of group affiliation, for status symbols, for protection from harm, or as a supplement to reconstructive surgery.
Modern industrial organic pigments, mineral pigments, vegetable-based and plastic-based pigments, as well as modern industrial organic pigments, can all be found in the tattoo ink.
Therefore, the correct option is B, The safety of tattoo inks has not been studied enough.
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If $535 is invested at an interest rate of 6% per year and is compounded continuously, how much will the investment be worth in 10 years? use the continuous compound interest formula: a = pert $1307. 12 $974. 83 $973. 38 $403. 43.
The Amount of investment equals $974.83.
The continuous compound interest helps to calculate an investment that are reinvested into the balance over a infinite number of periods.
The formula for continuous compound interest is A=P^e^(r*t)Amount of investment = $535 * e^(6%*10)
Amount of investment = $535 * 1.82211880039
Amount of investment = $974.833558209
Amount of investment = $974.83
Therefore, the Option B is correct since the Amount of investment equals $974.83.
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Which statement best describes how the international ethics standards board for accountants' (iesba) code affects the u. S. Accounting profession?.
a. CPAs in public practice in the US are required to apply the IESBA Code, even if they don't perform services outside the US.
b. State boards of accountancy are required to adopt the IFAC's rules within 90 days of an IESBA rule change.
c. As a member body of IFAC, the AICPA is required to change its bylaws whenever the IESBA changes its rules.
d. The AICPA is required to adopt ethics standards that are at least as restrictive as the IESBA rules.
Which describes an example of using unsecured credit?.
Answer:
An example of it is that someone buys new gutters for a home with a credit card. That a simple way to explain it and the answer should be about it xd
Explanation:
Which tools would you use to make chart 1 look like chart 2 in excel.
The tool to make chart 1 look like chart 2 in Microsoft Office Excel is the Chart Tools Design tab
The Microsoft Office Excel as several kinds of interchangeable charts that can be selected by the user.
Examples of charts
Some charts in Microsoft Office Excel are:
The column charts. The line charts. The bar charts. The area charts. And several others.Change charts
To change a chart from one form to another, you simply make use of the Chart Tools Design tab
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Use the drop-down menus to label the organelles in the picture to the right. Label a.
For an animal cell:
Label A
✔ Mitochondria
Label B
✔ Nucleus
Label C
✔ Golgi apparatus
Label D
✔ Ribosomes
-----------------------------------
For a plant cell:
Label A
✔ Vacuole
Label B
✔ Cell wall
Label C
✔ Chloroplast
Label D
✔ Mitochondria
----------------------------------
I hate to ask, but Brainliest please?
Describe the nature of the roots for the equation 49x^2-28x+4=0.
Group which shows similar traits that is different from the other descendants of a common ancestor.
A group showing similar traits that are different from other descendants of a common ancestor is called CLADE. It is the most inclusive group within a phylogeny.
A clade is a group of organisms that represent all descendants of a shared common ancestor and such ancestor in a phylogeny.
The organisms in a clade may show similar phenotypic traits, which only can be shared by the member of the clade and its common ancestor.
The most inclusive (and similar) traits in a clade are not shared with any other organism found outside the clade.
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akao wrote an opinion piece about why he thinks sandwiches are the perfect food. Read the first body paragraph.
Sandwiches make healthy food taste good. You can choose a soft whole grain bread as a base. Then you can add a lean meat or some other protein, like hummus. Finally, some lettuce or other greens will give it a nice, healthy crunch.
Which sentence states the reason for Takao’s opinion?
A. "Sandwiches can be tasty and healthy too."
B. "You can choose a soft whole grain bread as a base."
C. "Then you can add a lean meat or some other protein, like hummus.
D. "Finally, some lettuce or other greens will give it a nice, healthy crunch."
Answer:
A
Not confident about this answer, so sorry if it is wrong
Explanation:
I think it is a because
It is the topic sentence
The sentence is also the only sentence to entirely be an opinion
The rest of the paragraph is talking about what you can put on it to make it taste good and be healthy
According to the university of michigan studies, leaders who are production oriented are described as emphasizing interpersonal relationships and as taking a personal interest in the needs of their followers.
The statement which states that according to the University of Michigan studies, leaders who are production oriented are described as emphasizing interpersonal relationships and as taking a personal interest in the needs of their followers is FALSE.
A leader is a person who is in charge of a group of people and is tasked with showing them how things are done and for them to also follow his instructions and trust his leadership.
With this in mind, we can see that the above statement about the research which was made in the University of Michigan is FALSE because production oriented leaders are not described as emphasizing interpersonal relationships.
Therefore, the correct answer is FALSE
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Jose and zola want to purchase their first home. Jose makes $23. 50 an hour and works 40 hours per week. Zola makes $21. 50 an hour and works 40 hours of regular time and for the last three years, has also worked on average 5 hours of overtime a week. They have two car payments totaling $500 a month and one credit card with a minimum payment of $50 a month. What is their combined gross monthly income?.
Based on the computation done, the value of the combined gross monthly income is $7630.
Since there are four weeks in a month, Joe's income will be:
= 23.50 × 40 × 4
= 3760
The value of Zola's income will be:
= 21.50 × (40 + 5) × 4
= 21.50 × 45 × 4
= 3870
Therefore, the combined gross monthly income will be;
= $3760 + $3870
= $7630
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At a hospital, 56 percent of the babies born are not girls. Of the baby girls born, 12 percent are premature. What is the probability of a premature baby girl being born at this hospital? round to the nearest percent.
Answer: the answer is 5%
Explanation: got it right on edge
Quadrilateral 1 and quadrilateral 2 are polygons that can be mapped onto each other using similarity transformations. The transformation that maps quadrilateral 1 onto quadrilateral 2 is a followed by a dilation with a scale factor of.
The transformation that maps quadrilateral 1 onto quadrilateral 2 is a translation followed by a dilation with a scale factor of 1/2
From the question, we have the following highlights
The quadrilaterals are similar (not congruent)Quadrilateral 2 is twice the size of quadrilateral 1The above highlight (1) means that, quadrilateral 1 can be translated to get 2.
After the translation, the new quadrilateral 1 can then be dilated by 1/2 (this is so because quadrilateral 2 is twice the size of quadrilateral 1.
Hence, the true statement is: the transformation that maps quadrilateral 1 onto quadrilateral 2 is a translation followed by a dilation with a scale factor of 1/2
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Answer:
translation, 2
Explanation:
In your response, be sure to address all parts of the question. Use complete sentences; an outline or bulleted list alone is not acceptable. Use the passage to answer all parts of the question that follows. A) describe the broader historical situation in africa at the time that jean barbot wrote his book. B) explain one way in which the passage illustrates the continuing development of the atlantic in the seventeenth century. C) explain one way in which barbot’s background might have influenced his comments about the dutch and the portuguese in the second paragraph.
The broader historical situation in Africa at the time that Jean Barbot wrote his book was that it showed the colonization of Africa by European countries.
It should be noted that a way that the passage illustrated the continuing development of the Atlantic in the seventeenth century is that it showed that the development was continuous.
Lastly, the way in which Barbot’s background might have influenced his comments about the Dutch and the Portuguese was due to the Protestant link he shared with the Dutch. Therefore, he speaks well of the Dutch and speaks ill of the Portuguese.
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If you have a job that earns $160 in 2 days, how much will you earn in 7 days?.
Answer:
$560
Explanation:
If you earn $160 in 2 days, which means you earn $80 per day.
In 7 days, you'll earn 7 x $80 = $560
Please select the word from the list that best fits the definition ages 85 and older.
Answer:
Where is the list?????!!!
Answer: Old-Old
Explanation: