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)
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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President theodore roosevelt speak softly and carry a big stick'' foreign policy was based on brainly.
Match each sentence with the appropriate purpose for writing.
Answer:
Where are the pictures? I would like to help you.
These questions are so hard to answer. Please help!
Answer:
i think B
Explanation:
When earth and the moon are separated by a distance of.
Answer:
3.84x10^8 meters probably
in the late 1800s, china experienced an internal crisis when emperor guang xu launched massive reforms throughout the nation. why were these reforms opposed, thus creating an internal crisis in china?
Note that in the late 1800s, China experienced an internal crisis when emperor Guang Xu launched massive reforms throughout the nation. It is to be noted that these reforms were opposed and hence caused internal crises because: "Some people felt reforms would ruin the Chinese economy." (Option A)
How did the crises erupt?Among many persons, Prince Duan, a late Qing dynasty stateman, was the most vocal in his opposition to the changes. Prince Duan had resisted the changes because he felt a foreign scheme was at work, with many Western concepts, including military tactics, education, and political methods, being proposed for implementation, and he was threatening to deport all foreigners from China.
As a result, they executed and imprisoned all reform supporters and held King Guang Xu under house arrest until his death.
According to some historians, Emperor Guang Xu was the first Chinese ruler to pursue modernizing reforms and capitalism. Imperial power in the Qing dynasty reached a low under Guangxu, and he was the first Qing emperor to be imprisoned during his own reign.
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What is 3x3 – 11x2 – 26x + 30 divided by x – 5? 3x2 – 4x + 6 3x2 + 4x – 6 3x2 + 26x + 8 3x2 – 26x + 8.
Which method did europeans use to try to find the lake guatavita's mythical treasure? draining diving panning magnets.
The method Europeans uses to try to find lake Guatavita's mythical treasure was draining. The Lake Guatavita is a mystic, circle of water.
Lake Guatavita is a mystic and famous lake due to 'The Legend of El Dorado'.
According to the legend, this Lake (Lake Guatavita) contained treasures in its deep waters.
In this regard, it has been supposed that Europeans lowered (drained) the level of the Lake to find many pieces of gold.
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Answer:
A) draining
Explanation:
ez claps
Which item(s) will require a journal entry to update the balance in the cash account?.
Lorena and julio purchased a home for $205,950. Their loan amount was $164,760, and the assessed value is now $200,500. Their tax rate is 1. 5%. How much will their monthly taxes be?.
Why is it important for all the phases of growth and reproduction to proceed correctly in order for a plant species to survive?
Explanation:
Reproduction produces offspring.
All organisms reproduce. If they didn't, no species would survive past a single generation. Reproduction allows organisms to pass their traits, or characteristics, to their offspring. Parents pass on their traits through their genetic material, or DNA.
If the code for cabbage is dzcabff, what is the code for knight.
Substitution cipher has to do with the replacement of letters of the alphabet in different iterations so that it would be difficult to understand for anybody who does not know the cipher key.
Based on your given question, there is no cipher key given to help to break the code which was given, so there is very little that can be done on my part unless you seek the help of a professional cryptologist or code breaker.
Please note that your question is incomplete so I gave you a general overview so that you could get a better understanding of the concept.
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Lily needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 3. 5 hours and charged her $159 for parts. The total was $456. 50. Write and solve an equation which can be used to determine xx, the cost of the labor per hour.
A zookeeper predicted that the weight of a newborn lion would be 2. 8 pounds. When the zoo’s lion gave birth, the newborn weighed 3. 5 pounds. What is the zookeeper’s percent error? round to the nearest percent.
What happens when the barrel goes over the waterfall?.
the barrel will crash down
The goal in choosing vocabulary words is to focus on words that will be _______________ to the children.
Answer:
teach I give this answer because if we will teach the children the words we will repeat it again and again then the children will repeat it again and again and our mind
fix it
Which principal energy level of an atom contains an electron with the lowest energy?.
Using the following vocabulary, describe in spanish what you do in your spare time. Write two sentences in spanish. Después de los fines de semana los lunes/martes/miércoles/jueves/viernes voy.
The examples in Spanish are listed below:
Después de los fines de semana yo voy los lunes y el martes al centro comercial a ver las novedades de los almacenes.Después de los fines de semana yo voy los miércoles en la noche a leer con tres amigos libros de literatura alemana. Procedure - Sentences in SpanishGrammatical structureIn this question we must build two sentences in Spanish in which we talk about hobbies and which follow this grammatical construction:
Después de los fines de semana + pronoun + verb + complement
Examples in Spanish (Results)Now we proceed to present two examples of sentences in Spanish:
Después de los fines de semana yo voy los lunes y el martes al centro comercial a ver las novedades de los almacenes.Después de los fines de semana yo voy los miércoles en la noche a leer con tres amigos libros de literatura alemana.To learn more on sentences in Spanish, we kindly invite to check this verified question: https://brainly.com/question/11727612
Hemophilia is an x-linked recessive disorder. A punnett square is shown. The columns are labeled upper x h and upper y. The rows are labeled x upper h and x h. What is the probability of the offspring having hemophilia for the cross that is shown in the punnett square? 0 percent 25 percent 50 percent 75 percent.
Answer:
50% (C)
Explanation:
The cross displayed in the Punnett square has a 50% chance of having hemophilia. The correct option is C.
What is hemophilia?An genetic bleeding ailment called haemophilia causes the blood to clot improperly. This may result in both spontaneous bleeding and bleeding after injury or surgery. Blood contains a variety of clotting proteins that can aid in halting bleeding.
The term "X-linked recessive disorder" refers to a genetic condition caused by the coexistence of two recessive alleles on the female X chromosome and one recessive allele on the male X chromosome.
Here, in this Punnett square [tex]X^hX^h[/tex], and [tex]X^hX^[/tex] are hemophilic individuals, while [tex]X^HX^h[/tex], the female is a carrier.
Thus, the correct option is C.
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Your question seems incomplete, the missing image is:
A software developer wants to add a new feature to an existing application operating in the cloud, but only wants to pay for the computing time the code actually uses when it is called.
Answer:aye bro answer my question
Explanation:
Nadia bought 4. 3 pounds of ham on tuesday and 1. 7 pounds of ham on wednesday. She spent a total of $41. 94. What was the price of the ham per pound?.
What does the image of "a huge mountain ‘tween my heart and tongue" suggest about the meaning of this passage? portia does not want lucius to find out that she is in love. Portia fears her own thoughts and wishes they would stop. Portia is not sure if lucius can be trusted with the errand. Portia does not want to say what she is feeling.
Answer: d. Portia does not want to say what she is feeling.
Explanation:
I got it right
Question:
What does the image of "a huge mountain ‘tween my heart and tongue” suggest about the meaning of this passage?
-Portia does not want Lucius to find out that she is in love.
-Portia misses the freedom to enjoy being out in nature.
-Portia knows that Lucius is one of the conspirators.
- Portia wishes for help to keep from saying what she knows and feels.
Answer:
Portia wishes for help to keep from saying what she knows and feels. -D
Explanation:
Just did it!
A researcher wants to conduct a study to see if playing chess improves memory. The researcher finds 50 individuals who play chess regularly and 50 that do not. Each of the 100 individuals are given a questionnaire designed to determine memory level. If the 100 individuals did not know they were participating in the study, which statement about the study is correct?.
Answer:
This is an observational study
Explanation:
just took the test
Which of the following best describes the sources that contribute to your online identity.
Statement that describes the difference that exists between an online identity and a real-life one is Online identities are more flexible.
Online identities can be regarded as the identity that is been presented on the internet and this is usually different from the real life identity.
This is because on internet different means can be used to have fake identity and this is different from real world.
We can conclude that difference between online identity and a real-life one is flexibility.
CHECK THE COMPLETE RELATED QUESTION BELOW;
What BEST describes the difference between an online identity and a real-life one?
Online identities are decided for you.
Online identities are short-lived.
Online identities are more flexible.
Online identities are forced on you
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A rock gym charges $5 to rent equipment and $2 per hour to climb. Logan spent $9. 50. How many hours did he spend climbing?.
An unanswered constitutional question about the judicial branch involves brainly.
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 ?
The mean of w which represents the total amount won where w = x + 15 is;
w = -$4.5
We are given;
Winnings if a red chip is selected; x₁ = $5.
Now, there are 10 red chips in a bag of 20 chips.
Thus, the probability of this outcome is:
p₁ = 10/20
p₁ = 1/2
Winnings if a blue chip is selected; x₂ = $10
Now, there are 4 blue chips in a bag of 20 chips.
Thus, the probability of this outcome is:
p₂ = 4/20
p₂ = 1/5
Winnings if a yellow chip is selected; x₃ = $20
Now, there are 6 blue chips in a bag of 20 chips.
Thus, the probability of this outcome is:
p₃ = 6/20
p₃ = 3/10
Finally, the expected value is:
E(X) = 5(¹/₂) + 10(¹/₅) + 20(³/₁₀)
E(X) = $10.5
We are told that w = x - 15
where x is the amount won from selection of chip which is E(X) = $10.5
Thus;
w = 10.5 - 15
w = -$4.5
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An mg2+ ion has the same electron configuration as.
Dwight creates a table of values for a function and plots the points. He finds that one y value divided by the next y value produces the same answer each time. What kind of function did he graph?.
A syringe contains 0. 65 moles of he gas that occupy 850. 0 ml. What volume (in l) of gas will the syringe hold if 0. 35 moles of ne is added?.
Answer:
im sorry
Explanation:
(not really we will never meet in person)