1-SinQ = (sec Q tanQ)2
1+sinQ​

Answers

Answer 1

Answer:

The answer is below

Explanation:

Prove that:

[tex]\frac{1+sinQ}{1-sinQ}=(secQ + tanQ)^2[/tex]

Trigonometric identities are equalities involving trigonometric functions for which both sides of the equality are equal and defined. Some trigonometric identities are:

sin²Ф + cos²Ф = 1;  1/cosФ = secФ; 1/sinФ = cosecФ; cosФ/sinФ = cotФ; 1 +  tan²Ф = sec²Ф

Given:

[tex]\frac{1+sinQ}{1-sinQ}\\\\Divide\ through\ by \ cosQ:\\\\ \frac{\frac{1}{cosQ} +\frac{sinQ}{cosQ} }{\frac{1}{cosQ} -\frac{sinQ}{cosQ} }=\frac{secQ+tanQ}{secQ-tanQ}\\\\Next, rationalize\ the\ denominator\ by \ multiplying\ the\ numerator \ and\ \\denominator\ by\ secQ+tanQ:\\\\\frac{secQ+tanQ}{secQ-tanQ}*\frac{secQ+tanQ}{secQ+tanQ}=\frac{(secQ+tanQ)^2}{sec^2Q+secQtanQ-secQtanQ-tan^2Q}\\\\=\frac{(secQ+tanQ)^2}{sec^2Q-tan^2Q} ;\ But sec^2Q-tan^2Q=1,hence:\\\\[/tex]

[tex]\frac{(secQ+tanQ)^2}{sec^2Q-tan^2Q} =\frac{(secQ+tanQ)^2}{1}=(secQ+tanQ)^2\\\\\frac{1+sinQ}{1-sinQ}=(secQ+tanQ)^2[/tex]


Related Questions

How do the underlined sentences on pages 1-2
advance the author's point of view?
X
They support the idea that people should be
concerned about the effects of bottled-water
production on the environment.
They show that people who have little regard for
the environment are willing to spend money on
high-quality bottled water.
They show that people who do not have access to
safe water must pay for bottled water, at great cost
to the environment.
They support the idea that people drink bottled
water based on quality concerns rather than on
cost or environmental concerns.

Answers

Can u give a mire clear picture I rrly cant see

Answer: A

Explanation: They support the idea…environment

Each of the following sentences contains one or two gaps. From the list of words lettered A-D, choose
the words that best complete each sentence,
for
6. After receiving the damaged box, Bob put in a
A. complaint, negligence
C. surcharge
D. claim, compensation
B. request, rebate
were

Answers

I think d it will be d because of the meaning it gives to the sentence

Answer:

D

Explanation:

They claim the box is damaged, and compensation mean : something, typically money, awarded to someone as a recompense for loss, injury, or suffering.

According to Irving's tale "The
Devil and Tom Walker," the
trees on Deacon Peabody's
land were unusual in what
way?
A. They were all hardwood trees that had
been there since before Captain Kidd
came through
B. They had names of great men of the
colony on them and were scored by the ax.
C. They were tall and beautiful, fair and
flourishing

Answers

Answer:

i am not 100 percent sure but i think the answer is B, They had names of great men of the colony on them and were scored by the axe

Why writing articles is the most difficult?

Answers

Answer:

they are too long to write

Answer:Vì   vếtbài  câần suynỉhi

Explanation:

what is a period going to do at the end of a sentence?

Answers

a period ends the sentence more or less

The government has introduced a new tax __ luxury goods

Answers

Answer:

on / for

The government has introduced a new tax on luxury goods.

or

The government has introduced a new tax for luxury goods.

is this statement below written in standard english?

Grandma should have laid her glasses in a safer place. true or false

Answers

Answer:

True

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Which is a complete sentence?

Answers

Answer:

Both of the candidates radiate confidence on camera.

I have been a nurse for twenty years. In that time, I have seen a great number of patients suffer because they did not have health insurance. One of the worst cases was a young mother of two who was diagnosed with early stage skin cancer. Because she could not afford treatment, the cancer spread from her skin to other parts of her body. By the time I saw her for the first time, the cancer had reached her brain, and she could no longer be helped. This sort of thing should not happen to anyone. A strong universal health care system could prevent instances like this from occurring.

Which rhetorical appeal is used in the text, “I have been a nurse for over twenty years”?
logos, an appeal based on logic
ethos, an appeal based on the author’s character
pathos, an appeal based on emotion
no rhetorical appeal is used

Answers

Answer:

First one ethos

Second one pathos

Explanation:

1. "Sikat ng araw ay sasalubungin", ano ang
kasingkahulugan ng salitang sikat?
a. dilim
b. liwanag
C. kislap
d. kilala
2. "Kahirapan ang taal ng paghihinagpis", ano ang
kasingkahulugan ng salitang taal?
a. pinagmulan
b. bulkan
C. tuktok​

Answers

Answer:

1. Liwanag

2.Bulkan

Explanation

D ako ganon kasigurado sa number 2

Write a two-page paper that highlights how this course you are taking can be applied to your current work situation and how it provides benefits. If you are currently not working, please highlight how this course could be instrumental in providing you with future employment opportunities.

Answers

Solution :

A course in graphic designing.

I am doing two year diploma course in the field of graphic designing. Graphic designing is an skill or art where the professional or the graphic designers create visual contents for any message that needs to be communicated.

It is two year diploma course and is highly required by the corporates and state offices where they need to communicate or market their products, policies and any messages through visual art or graphics content.

I am presently working in an agency which do marketing campaigns for the industries in the social media applications. Thus learning graphic design will be very beneficial for me. I can work as a graphic designer and create visual arts and content for the social media and help the partner company to market their product or reach out to their consumers through the social media.

It can also be helpful for me in my future employment opportunities as now-a-days everything is online. So creating online contents and graphics for the products and do marketing in any e-portal or online application is the future and is on trend. So learning graphic designing is the best option for me now.

A reading strategy in which you try to understand the story in terms of
its historical, biographical, and culture place

Answers

historical approach i'm pretty sure, sorry if i'm wrong lol

Parents should be given fair chances to speak, during interviews by the educators ​

Answers

Answer:

Um..True?

Explanation:

True but they don’t and when you talk they are like you are being disrespectful

Identify the type of adverb in the following sentence:
Thereafter, he avoided that street corner.
O A. Compound adverb
B. Coordinate adjective
C. Simple adverb
O D. Phrasal adverb
SUBMIT

Answers

Answer: Compound

Explanation: because

Answer:

A. Compound adverb

Explanation:

AP3X- just took the test

WHAT TO THE SLAVE IS THE FOURTH OF JULY?
By Frederick Douglass
Extract from an Oration, at Rochester, July 5, 1852
Fellow Citizens-Pardon me, and allow me to ask, why am I called upon to speak here to-day What have 1or those I represent, to do with your national Independence Are the great principles of political freedom
and of natural Justice, embodied in that Dedaration of Independence, extended to us? and am I therefore, called upon to bring our humble offering to the national altar, and to confess the benefits, and express
devout gratitude for the blessings, resulting from your independence to us?
But, such is not the state of the case. I say it with a sad sense of the disparity between us. I am not Induded within the pale of this glorious anniversaryl your high independence only reveals the immeasurable
distance between us. The blessings in which you this day rejoice, are not enjoyed in common. The rich Inheritance of Justice, liberty, prosperity, and independence, bequeathed by your fathers, is shared by you, not
by me. The sunlight that brought life and healing to you, has brought stripes and death to me. This Fourth of July is yours, not mine. You may rejoice, I must mour. To drag a man in fetters into the grand
illuminated temple of liberty, and call upon him to join you in forous anthems, were inhuman mockery and sacrilegious irony. Do you mean, tizens, to mock me, by asking me to speak to dan...
Fellow citizens, above your national, tumultuous Jov, I hear the mournful wail of millions, whose chains, heavy and grievous yesterday, are to day rendered more intolerable by the Jubilant shouts that reach them.
If I do forget, if I do not faithfully remember those bleeding children of sorrow this day, may my right hand forget her cunning, and may my tongue deave to the roof of my mouth to forget them to pass lightly
over their wrongs, and to chime in with the popular theme, would be treason most scandalous and shocking, and would make me a reproach before God and the world. My subject, then, fellow citizens, is
AMERICAN SLAVERY. I shall see this day and its popular characteristics from the slave's point of view. Standing there, identified with the American bandman, making his wrongs mine, I do not hesitate to dedare,
with all my son, that the character and conduct of this nation never looked blacker to me than on this Fourth of July. Whether we turn to the declarations of the past, or to the professions of the present, the
conduct of the nation seems equally hideous and revolting
Which of the following correctly explains the main purpose of Douglass's speech(5 points)
To argue that Americans have little to celebrate

To suggest an alternative form of celebration

To imply it is time to develop new American traditions

To explain the effects of slavery on culture





Answers

Answer:

To argue that Americans have little to celebrate

Explanation:

According to the passage, "Fellow citizens, above your national, tumultuous Jov, I hear the mournful wail of millions" Douglas uses the word, "mournful" which means "feeling, expressing, or inducing sadness, regret, or grief". He also uses, "wail of millions". Wail means the desperate cry of practically MILLIONS of people in the world.

All in all, from the following quotations from the text, Douglas's main purpose of his speech was to argue that Americans have little to celebrate.

Hope this helps and if it does, don't be afraid to give my answer a "Thanks" and maybe a Brainliest if it's correct?  

write a letter to your friend importance of sports​

Answers

Answer:

Hello my friend

How are you? How is your family? I hope you are all well. I am writing this email to tell you about the importance of sports.

Sports are fun and a lot of people enjoy it, some people like a specific type of sports while others love it all. The popular sports that people enjoy around the world are football, basketball, swimming, volleyball and many more. Lose weight and maintain a good body shape.Doctors recommend exercise for people with diabetes, and also for some people with heart disease.

I hope you benefit from this email I wrote to you.

bye

"I hope I was able to help you"

Explanation:

The great Gatsby Jay Gatsby appearance weakness

Answers

Answer:

true

Explanation:

Huck and Jim can forget the laws of society
Select one:
a. On the river
b. In a feud
c. In a church
d. In various cities

Answers

Answer:

D

Explanation:

It obviously is

Reorder the following words/phrases to make a complete sentence in a responding e-mail letter. “error/ this/ due/ was/ to/ process/ of/ the/ transporting/ products/ our.” Choose the best answer.
A.This error was due to the process of transporting our products.
B.This was error to due the process of transporting our products.
C.This was due to error the process of transporting our products.
D.Error this was due to the process of transporting our products

Answers

Answer:

gg broo

Explanation:

The correct answer is option A i.e This error was due to the process of transporting our products.

How can you remove the errors from the sentence?

The course of combination includes converging of nuclear cores to shape heavier cores bringing about the arrival of tremendous measures of energy.

Combination happens when two low mass isotopes, regularly isotopes of hydrogen, join under states of outrageous tension and temperature.

Researchers keep on dealing with controlling atomic combination with an end goal to make a combination reactor to deliver power. Be that as it may, progress is delayed because of difficulties with understanding how to control the response in a contained space.

For more information about Sentence, refer the following link:

https://brainly.com/question/18367046

#SPJ2

I am eight years old (tag questions)

Answers

Answer:

Am i eight years old is answer

3. Which of the following values is a rational number?
A
B
149 + 7
V225 + VIGO
V2 x V121
Vil x 10

Answers

Answer:

V2*10is the right ans ok

select the correct answer from the drop down menu. read the excerpt then choose the correct way to complete the sentence. chares too belonged to a family of wealth and influence

Answers

Answer:

A

Explanation:

the athens believed in friendship as it was their truth

What is one theme of the Wife of Bath's story?

Youth is something to be preserved.

There are roles for men and women in the Church.

Chivalry is unimportant in society.

There are roles of men and women in marriage.

Answers

Answer:

The correct answer is D

Explanation:

Took the K12 test

One theme of the Wife of Bath's story is that there are roles of men and women in marriage. Hence, Option (D) is correct.

The story delves into the dynamics of marriage and challenges traditional gender roles.

The Wife of Bath herself is a strong advocate for the agency and power of women within marriage.

She argues that women desire sovereignty and control, emphasizing the importance of their roles in shaping the dynamics of a marriage.

Throughout the story, the characters and events serve to explore and highlight the roles and expectations placed on men and women within the institution of marriage.

Thus, this theme underscores the broader social commentary and critique of gender relations that the Wife of Bath's tale presents.

Learn more about the Wife of Bath here:

https://brainly.com/question/30544210

#SPJ6

What is one theme of the Wife of Bath's story?

a)Youth is something to be preserved.

b)There are roles for men and women in the Church.

c)Chivalry is unimportant in society.

d)There are roles of men and women in marriage.

what does it mean authorize???????????

Answers

Answer:

give official permission for or approval to (an undertaking or agent).

Explanation:

i GOOOGLED IT

Answer:

give official permission for or approval to (an undertaking or agent).

Explanation:

yep

write an argumentative essay and make sure to support your argument with evidence


pleaseee guys i need some answer on my module :<​

Answers

Mark brainlest please and give more points if possible

Argumentative Essay Sample on College Higher Education Issues
Education Issues
The cost of education is overshadowing the benefits that an individual gains. For a long time, many people have been thinking that educational attainment is too valuable so that an individual is not supposed to claim that it is expensive. This is because such people believe that in the end, they will receive a degree and most importantly, a stable job. Others believe that attainment in academic fields guarantees one just some pieces of paper that are not worth spending time on. Such people argue that there is no need to spend from fifty to about two hundred dollars for a degree or a certificate.

Background
The increasing cost of higher education is raising more questions than giving answers. The value of a student’s continuing education after high school is becoming something of interest not only to policy makers but also to many students. Majority of people tend to wonder whether to continue with higher education or to seek an employment after completing high school education. The opportunity cost of making a choice either to spend thousands of dollars on college or seek a full time job is on the rise. The issue is even more serious if the student comes from a poor background. Such families fear risking their little money on college or higher education. Looking for additional money to pay college tuition fees becomes an unnecessary burden for such families. This leads many people to asking whether higher education is certainly necessary, if it causes such poor families to continue having financial constraints.

Supporting Paragraphs
This issue of increased cost of education has received a lot of attention from various stakeholders. Some of the concerned people include even college lecturers. To determine whether this is really an issue in education, I had a short interview with a senior lecturer from the Adams state university. He is involved in the college’s administration.

Me: is there any issue that is facing education?

Lecturer: yes.

Me: can you please tell me more about this issue?

Lecturer: there are many issues that are facing education in our country. One of such

Issue is the rising cost of education. Many people are worried whether it is still worthy to continue spending more on college education.

Me: and how is that an issue?

Lecturer: many people are opting to join the job market with high school education. This in the long run may make the country to be short of skilled manpower necessary to run the economy.

Me: is there any solution to this issue?

Lecturer: the government is putting up a mechanism so that the cost of education is brought back to manageable levels. The government is also conducting sensitization on the importance of higher education.

Me: thank you for sparing me some of your time.

In order to evaluate and determine whether college or higher education is worth investing in, it is necessary to clarify the benefits of having a higher education. Such clarifications will make people, who have some fear risking in higher education, realize that a quality education is worth investing, since it brings benefits both to the individual and the whole society.

In the recent past, due the high rate of unemployment in many countries, the significance of education to one’s life was underestimated. This does not mean that education is irrelevant. There are two reasons to obtain higher education. Firstly, it helps in training the human brain. A human being without education will have difficulties adapting to his environment. A quality education makes man concepts and ideas have a strong supporting background. Whichever theory that man conceptualize, it is articulated in a clear manner only when such an individual has a legitimate education. A person with education is, thus, in a position to make meaningful decisions. Someone may then ask, whether it suggests that persons who did not go to school do not make a decision or think. The answer to this question is negative. Individuals who have not accessed higher education still think, however, people who went to school are exposed to various or different ways of thinking. This makes such people make sound decisions based on reasoning and forethought.

The second importance of education is that it helps the learner in receiving information from the external world. Higher education enables the student to learn more about various topics, such as social behaviors of people in different countries and their perception of life. College education can, thus, be said to be a potent tool for self enhancement. Subjects such as anthropology, history, international politics, sciences, and humanities help people in being more accommodative and sympathetic to other people’s beliefs, cultures, religions or races.

hey anyone arounddddd XD need help with sum

Answers

Answer:

what do you need help with?

Which sentences contain suffixes that are correctly constructed? (Multiple Answers)
Select one or more:

a. Laura seems to suffer from acute shyness.
b. We need to find someone fameous for the new campaign.
C. Apologies for the quality, but I hurryed through this.
d. The construction work is an annoyance for those working next door.
O
e. Excitement seems to be on the increase in the office.

Answers

Answer:

a. Laura seems to suffer from acute shyness.  

d. The construction work is an annoyance for those working next door.  

e. Excitement seems to be on the increase in the office.

Explanation:

Suffixes are the words added to an already existing word to make a new word. The word "suffix" refers to a word that is added after a given word, while a prefix means a word added before a word.

In the given sentences, the sentences that contain the correct suffix are sentences a, d, and e.

The word "shyness" in sentence a is correct as it adds "ness" to the word "shy".

In sentence d, "ance" is added to the already existing word "annoy".

Likewise, the suffix "ment" is added to the word "excite" to make a new word.

Thus, the correct answers are options a, d, and e.

A bucket of roses phrase or claws​

Answers

'A bucket of roses' it is a phrase

Answer:

phrases

Explanation:

hope help you stay happy

I don't want a brownie because i like cookies better. What type of sentence is this?

A.compound sentence

B.simple sentence

C.complex sentence

D.compoumd complex sentence

Answers

Answer:

Compound sentence

Explanation:

Compound sentence has at least two independent clauses that have related ideas.

So, correct answer is A.

write a paragraph of about 100 words explaining some of the problems you face when you listen to a lecture​

Answers

The problems of listening to a lecture could go on and on. There are a copious amount of different variables that take place when a lecture is being orally presented. “Is the lecture interesting?” “Who is presenting the lecture?” “Who’s in the audience?” So very often we find ourselves bored while listening to a lecture due to the sheer fact of the presenters voice. The only problem that occurs while listening to a lecture is the personality and preference of the one who is listening.

Answer:

In order to have a successful lecture, we must be prepared for many possible problems. Some of the most common are:

- Uncomfortable temperatures in the room

- Poor acoustics in the room

- Dying microphones

- Disruptive sounds like coughing, sneezing, or ringing phones.

Before any lecture starts planning and preparation can help reduce these issues.

Heating and cooling are very important to the comfort of the lecturer and the audience. During the winter months it is important to have heaters ready to go. In addition, having extra space heaters is also helpful if some part of the room is colder than others. The same can be said for air conditioning in the summer. Having a fan with you can help cool you off or a personal portable air conditioner works well for small rooms.

Explanation:

Other Questions
Question 3Simplify4x 2x 2. A-Action What is happening in the cartoon? You buy a patty for $200 and pay 16% in tax (G.C.T). How much is money was paid to the cashier? plz plz guys solve this i will give you brainliest with procedure If a firm is privately owned, and its stock is not traded in public markets, then we cannot measure its beta for use in the CAPM model, we cannot observe its stock price for use in the dividend growth model, and we don't know what the risk premium is for use in the bond-yield-plus-risk-premium method. All this makes it especially difficult to estimate the cost of equity for a private company. True False determine the equation of the circle graphed below .( help please ) D) Sum of the two adjacent angles is 140. If the second angle is 7 less than six times the first angle, find the two angles. (2 Marks) Ava buys a book for 8.58. She pays with a $10 bill. How much change will she get? A recursively defined sequence is shown below. a1 = 5 an+ 1 = 2an -7 The value of a4 is1. -92. -13. 84. 15 help plsss I have no idea Study the position-time graph for a bicycle. Which statement is supported by the graph? Position vs Time O The bicycle has speed but not velocity. O The bicycle is moving at a constant velocity. O The bicycle has a displacement of 3 m. O The bicycle is not in motion. 3 Position (m) 0 1 2 3 4 5 Time (s) Next Submit Save and Exit Mark this and return tViewers/AssessmentViewer/Activit. 0 M M 5xx can u give me the anwser Com relao ao Crowdfunding (financiamento coletivo), leia as assertivas abaixo e depois faa o que se pede.I - O Crowdfunding ou financiamento coletivo permite o levantamento de recursos. Ele conhecido pelo seu alto potencial de risco, em virtude das altas taxas de juros.II - O fracasso em campanhas desse tipo no faz com que voc perca dinheiro, como acontece quando o empreendedor faz um emprstimo bancrio.III - Caso o empreendedor no alcance a meta, as doaes voltam para as pessoas e o empreendedor fica desobrigado a pagar as recompensas.IV - A grande vantagem deste desta modalidade de financiamento que o empreendedor no precisa dar nada em troca para quem financiou a sua campanha.Agora, marque a alternativa que contenha apenas assertivas CORRETAS: Which of the following situations would most likely occur if the dollars exchange value dropped in relation to the Japanese yen?A.US citizens would be able to travel to Japan more cheaply.B.Imported Japanese goods would become more expensive.C.The US would export fewer products to Japan.D.Fewer Japanese tourists would travel to the US.Please select the best answer from the choices providedABCD 4 1) Which of the following is the correct way to solve(i( 11 x 44? 4 X 11 44 (0) (ii) 4 X 44 11 X 44 4 X 44 11 (iii) (iv) 11 X 44 help quickly pls area of a triangle: sine formula Mia records the distance traveled in x minutes in the table below, while Alexa uses a graph to record her distance traveled over the same time period.Alexas GraphA graph has time (minutes) on the x-axis and Distance traveled (miles) on the y-axis. A line goes through points (4, 3) and (8, 6).Mias TableA 2-column table with 4 rows. Column 1 is labeled Time (minutes) with entries 10, 18, 20, 26. Column 2 is labeled Distance Traveled (miles) with entries 5, 9, 10, 13. X+y=0 x-y+2=0Help, also write on paper please? I wanna learn how to do this Find the Area of the shape(Area of Composite Shapes) In rhombus LMNO, diagonals top enclose L N end enclose and top enclose M O end enclose intersect at P. If the measure of angle L P M is represented by 2x + 70. Solve for x.