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

In a wish in the dark who is not connected to in chapter 30-33

Answers

Answer:

Then the chapter is 32 yanno?

Explanation:

Select the correct text in the passage.

Which text in this excerpt from N. Scott Momaday's The Way to Rainy Mountain uses a simile to create a vivid picture?

For my people, the Kiowas, it is an old landmark, and they gave it the name Rainy Mountain. The hardest weather in the world is there. Winter brings blizzards, hot tornadic winds arise in the spring, and in summer the prairie is an anvil's edge. The grass turns brittle and brown, and it cracks beneath your feet. There are green belts along the rivers and creeks, linear groves of hickory and pecan, willow and witch hazel. At a distance in July or August the steaming foliage seems almost to writhe in fire. Great green and yellow grasshoppers are everywhere in the tall grass, popping up like corn to sting the flesh, and tortoises crawl about on the red earth, going nowhere in the plenty of time.

These are the texts that are the possible answer (theres only 1 answer i think...)

Hot tornadic winds arise in the spring

The grass turns brittle and brown and it cracks beneath your feet

At a distance in July or August the steaming foliage

Great green and yellow grasshoppers are everywhere in the tall grass, popping up like corn to sting the flesh,

Answers

Answer: Great green and yellow grasshoppers are everywhere in the tall grass, popping up like corn to sting the flesh

Explanation:

The text in this excerpt from N. Scott Momaday's The Way to Rainy Mountainb that uses a simile to create a vivid picture is "Great green and yellow grasshoppers are everywhere in the tall grass, popping up like corn to sting the flesh".

A simile refers to a figurative language there used in the description of people, places, events etc through comparisons. In similes, words such as "like" as used in showing similarities.

In this excerpt, we can infer that the simile was used in the phrase "popping up like corn". This conveyed the message that grasshoppers jump out of the tall grass.

Answer:

D. Great green and yellow grasshoppers are everywhere in the tall grass, popping up like corn to sting the flesh.

A simile is a figurative language you use to describe events, places, people, animals, ideas, etc. by making comparisons. We can easily identify it in texts or speeches that uses the words "like", "as", or "as in" to show similarity, and make the work more colorful, interesting and appealing.

In this excerpt, the author uses a simile ("popping up like corn") to convey the idea that the grasshoppers pop or jump out of the tall grass in a sudden and vigorous manner. By comparing the grasshoppers' action to corn, it makes the writing more colorful and appealing to the reader's

who is the last juror to hold out for a guilty verdict but is finally convinced at the end of act 3

Answers

Answer:

Juror #3

Explanation:

The most challenging juror because of an unwillingness to work well with the other jurors. He tries to bully the other jurors into voting guilty. Juror 3 changed his vote after realizing that all his anger toward the defendant resulted from his troubled relationship with his son. Due to his change of vote from guilty to not guilty, Juror 3 shows character growth and is therefore considered dynamic.

She is a .... Singer. She sings......

Answers

Answer:

She is a famous Singer. She sings beautifully

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

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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.

if someone told to you that "I love you and your behaviour" then what you have to do??​

Answers

Probably tell them how you feel or keep it for your future to answer

What kind of sentence is this? "My little brother is so lazy he just sits around in his pajamas watching cartoons all day."

Answers

This seems to be a metaphor

Which techniques best describe the tone the author is using in this passage?
A. Confusion and curiosity
B. Sarcasm and mockery
C. Jokes and humber
D. Sadness and regret

Answers

what is the passage?

Answer:

whats the passege

Explanation:

whaaat

.
Why did Dally tell Pony and Johnny not to go near the
church when they saw it was on fire?

Answers

After Johnny and Ponyboy have been hiding for a few days, Dally comes to check on them. He takes the boys to get food and fills them in on news of their fight with the Socs. ... They hear faint yelling from inside, and it is at this time that Ponyboy and Johnny go into the burning church to save the children.

Because Johnny killed Bob. The Socs were going to tell the police and they were nt going to be able to get out of it because they would believe the Socs. What are Johnny's injuries?

Imagery and repetition are aspects ofWhich is the best definition of the word tone?

Answers

Answer:

imagery and repetition are aspects of words choice . imagery is the expression through words that make the reader feel the visual , auditory , touch, taste, or smelling sensation , repetition is writing the same wordsrepeatedly fir laying more stress on an action or a situation....

Underline the ‘where' adverbs in these sentences.
1. Mohan is playing outside.
2. Jyoti is standing there.
3. Vandana is waiting upstairs.
4. The boy looked up.
5. The puppy stays here.
6. The girl is inside.
7. The aeroplane is flying above.
8. I looked for him everywhere.
9. We travelled far to look for him.
0. He went out to play.​

Answers

Underline the ‘where' adverbs in these sentences.

1. Mohan is playing outside.

2. Jyoti is standing there.

3. Vandana is waiting upstairs.

4. The boy looked up.

5. The puppy stays here.

6. The girl is inside.

7. The aeroplane is flying above.

8. I looked for him everywhere.

9. We travelled far to look for him.

10. He went out to play.

...................................................

NOTE:-

♕ An adverb is a word that modifies a verb, an adjective or another adverb and is used to show degree, manner, place, or tîme.

The above are examples of adverbs of plâce. They tell us the place where something happened or happens or will happen, answering the quèstion "where?".

...................................................

[tex]{\huge{\boxed{\sf{\pink{Mystique35}}}}}[/tex]

state any five function of finance​

Answers

Answer:

Any five function of finance are:-

Planning Procurement and Investment.Credit and Collection .Loans and Advances .Tax and Insurance .Payroll.

Explanation:

Hope it to be correct!

Esta interesado en mi servicio de sexo adomicilio

Answers

Answer:

Do not understand ur question

Explanation:

which of the following is a section used in the Cornell method of note taking?

1. Cues
2. Outline
3. Active
4. Images

Answers

Answer:

i think the answer is Outline

Explanation:

let me know if it's incorrect:)

Rewrite the sentences using must, mustn't, should or shouldn't.
1 cars are obliged to stop when the traffic lights are red​

Answers

Answer: 1 cars must stop when the trafffic lights are red and mustn't go when it is green

Explanation:

Answer:

cars must stop when the traffic lights are red

cars mustn't proceed when the traffic lights are red

cars should stop when the traffic lights are red

cars shouldn't proceed when the traffic lights are red

What did Byron ask the bully?

Answers

Answer: He asked him where Kenny's gloves were.

Explanation:

Byron Watson was the bully of sixth grade but his brother, Kenny, was in 4th grade which had a bully by the name of Larry Dunn. Larry steals Kenny's gloves and paints them black to deflect suspicion but Kenny notices that they are his and tells Byron about it even though he didn't want to at first.

Byron finds Kenny and asks him for the gloves which Larry denies that he had. Byron then asks him again but this time he hits him as he does so until he retrieves the gloves. He then proceeds to humiliate Kenny in front of the whole school.

The Next Adventure, what is a theme in this narrative ?

A) Holding in one’s feelings can lead to resistance

B) Planning ahead can often lead to disappointment

C) Traveling to new places is essential for person growth

D) Accepting change can bring about positive experiences

Answers

The correct response is D

The Next Adventure, The theme in this narrative is Accepting change can bring about positive experiences

What is the meaning of themes?

Theme is an idea or theme extended in discourse, discussion, etc. a unifying idea, image, or motif, repeated or developed throughout a work.

What are the examples of theme?

The examples of themes are:

LoveGood vs evilRevengeRedemption

Hence, the correct answer is Option D.

Learn more about The Next Adventure on https://brainly.com/question/5527678

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Question 9 of 10
What is one reason the colonists had difficulty coming together to revolt
against Britain?
A. Because they realized they could not live without British imports
B. Because many still thought of themselves as British
ОО Ο Ο
C. Because they could not make a decision on who should lead them
D. Because most of them wanted approval from France
SUBMIT

Answers

Answer: A

I dont know how to explain but its A

The answer is A- because they realized they couldn’t live without British imports

What part of a conflict is described in the conclusion of a narrative?

Answers

The solutionni think

Answer: the outcome or effect

Explanation:

One of the images that runs throughout The Tragedy of Macbeth is that of
a.
ships at sea.
c.
brotherly love.
b.
battle armor.
d.
blood.


Please select the best answer from the choices provided

A
B
C
D

Answers

Answer:i thing   B hello there

Answer:

b

Explanation:

Question 21 of 25
Matthew's essay includes a claim that the government
should work to end logging and create more protected
spaces.
Which counter-argument is most effective against this claim?
O A. People who cut trees down have no appreciation for beautiful
things.
OB. Sustainable logging practices provide jobs and vitalization to
many areas of the country.
O C. Many houses and other buildings are made of wood.
OD. It is important to protect natural areas for coming generations.
SUBMI

Answers

Answer: B Sustainable logging practices provide jobs and vitalization to many areas of the country

Name 5 things in which Financial Literacy you find it useful

Answers

Answer:

answer

1) the basic of budgeting

2) understanding interest rate

3)

prioritizing saving

4) credit debt cycle trap

5) identity theft issuess and safety

hope it's helpful

thereshe said while I was having dinner the phone ring change into indirect ​

Answers

Answer:

She told me that the phone rang while she was having dinner.

Explanation:

Select the correct text in the passage.
Which sentence best refines the author's claim about protecting historically significant architecture?
Architecture
Over the past several years, it has become increasingly common for big-name developers to tear down Victorian, Craftsman, and Colonial
buildings. This destruction is often performed with the thought that it is the property that holds the true value, not the structure that sits on it.
Likewise, homeowners have begun to value their property's location over the house they have spent many years living in. Little regard is given to
the painstaking details and craftsmanship that went into these buildings, nor the innate beauty of hand-carved woodwork and ornamentation
only with the old, in with the new" has resulted in people no longer appreciating the history and artistic integrity of our country's oldest
buildings and falling to realize
that once "the new" is brought in, "the old" is lost to us forever.
It is bad enough that developers and private citizens are blind to the beauty around them; what is worse is that local governments refuse to
step in and prevent this destruction. Cities and towns need to stand up to large developers that flash money around in the name of progress.
Rather than allowing developers to tear down old buildings simply to put up new ones, local governments could enact ordinances to preserve
their area's architecture. If an old building is unusable or unsafe as it is, the structure could be restored instead of demolished, not only would
this save one-of-a-kind architecture, it is also an extremely environmentally-conscience concept because less building material is used and
wasted.
In addition, local governments could prevent homeowners from tearing down their homes if the buildings are of a historic nature. Town
officials could easily draw up legislation to preserve all buildings erected before a certain date, which would effectively prevent anyone from
destroying historic architecture or buying property with express intent of rebuilding on the land,
If local governments take more of an interest in their towns' character and history right now, our culture will be preserved for many
generations to come.

Answers

Answer:

"Out with the old, in with the new" has resulted in people no longer appreciating the history and artistic integrity of our country's oldest  buildings and failing to realize  that once "the new" is brought in, "the old" is lost to us forever.

Explanation:

The above is the correct text in the passage that best refines the author's claim about protecting historically significant architecture.

This is true because in the above text, he reveals what has made people to no longer appreciate history and artistic integrity. Then he points out the danger that awaits when "the new" is brought in. Then, "the old" will actually be lost.

Answer:

Town officals could easily draw up...

Explanation:

hope this helps!

Choose the best answer to complete the sentence.
1. The poor parents do not have enough
money to pay for their son's hospital
A bill
B issue
c receipt
D invoice​

Answers

Answer:

A . bill

Explanation:

The poor parents do not have enough

money to pay for their son'shospittal bill.

Answer:

bill

Explanation:

True or false is it important that quarterbacks develop their leadership skills

Answers

Answer:

true

Explanation:

pWhich of the following is an appropriate paraphrase of this original language from a source? Original Language: "Small dogs make more aggressive companions because they see themselves as personal protectors, while large dogs see the entire property as their domain." From an article titled "Why Your Dog is Yippy" by writer John Brown, published in Dog Magazine, on page 27.

Answers

Answer:

pa helpppppp

Explanation:

pleaseeee

Read this statement by C.K. Williams about Walt Whitman. For a young poet, reading Whitman is sheer revelation, sheer wonder, a delight bordering on, then plunging into disbelief. How could all this have come to pass? . . . These countless images of daily life, of common life made uncommon, and the most boldly uncommon made jarringly intimate? This is best reflected in “When I Heard the Learn’d Astronomer,” when Whitman hears the astronomer’s lecture Whitman looks at charts and diagrams Whitman becomes tired and sick and wanders off Whitman goes out at night and looks at the stars

Answers

Answer:

can you please clear your question I can't understand

Answer:

D. whitman goes out at night and looks at the stars

Explanation:

Post an image that describes you and your interests.

Answers

Answer:

This one :)

Explanation:

Nature is beautiful and I love being in it. At this point, nature and I are basically one.

NEED HELP ASAP!!!!!!!!!!!!!
Jerry and Elaine are talking at lunch
Jerry: "did you have a good weekend?"
Elaine: "Yeah how about you?"
Jerry: "It was pretty good but my neighbor kept dropping in unannounced."
Elaine: "did you hear about George?"
Jerry: "no."
Elaine: "He has been coming into work late a lot I think the boss is going to fire him."
while elaine is saying this Jerry puts his finger to his mouth to shush her while George walks up from behind.
Version 1: George walks away. He never talks to Elaine or jerry again.
Version 2: George confronts Elaine, saying "I am angry about what you have been saying. I don't want you spreading rumors about me. if you have any problems please see me about it.
Version 3: George yells at Elaine to sh*t up and then confronts his boss demanding to know why he is going to be fired.
Version 4: George demands that Elaine tell him where she heard that. Elaine tells him not to worry about it and tries to crack a joke about how much the boss is late.

Choose the answer that correctly identifies the conflict management style represented by each version.
A. 1-non confrontational 2-cooperative 3-confrontational 4confrontational and non confrontational.
B. 1-confrontaional 2-cooperative 3-confrontaional 4-cooperative and confrontaional
C.-1- cooperative 2-confrontational 3-non confrontational 4-both are confrontational
D.all of the above.
I WILL MARK BRAINLIEST

Answers

Answer:

I believe someone else asked the same question here:

https://brainly.com/question/22527014

Explanation:

Sorry if its not a ton of help :/

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