1-SinQ = (sec Q tanQ)2
1+sinQ​

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]

The great Gatsby Jay Gatsby appearance weakness

According to Irving's tale "The
Devil and Tom Walker," the
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land were unusual in what
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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

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

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

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.

Each of the following sentences contains one or two gaps. From the list of words lettered A-D, choose
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for
6. After receiving the damaged box, Bob put in a
A. complaint, negligence
C. surcharge
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A.compound sentence

B.simple sentence

C.complex sentence

D.compoumd complex sentence

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3. Which of the following values is a rational number?
A
B
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V225 + VIGO
V2 x V121
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Parents should be given fair chances to speak, during interviews by the educators ​

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

write a letter to your friend importance of sports​

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.

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


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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.

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Which is a complete sentence?

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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
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Identify the type of adverb in the following sentence:
Thereafter, he avoided that street corner.
O A. Compound adverb
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SUBMIT

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

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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
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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