Mathematics High School

How would I unrationalize this fraction?
I am trying to find the cotangent in simplest form

How Would I Unrationalize This Fraction?I Am Trying To Find The Cotangent In Simplest Form

Answers

Answer 1

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[tex] \cot(teetha) = - 1[/tex]

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Answer 2

The cotangent in simplest form is -1.

What is trigonometry?

Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.

For the given situation,

cos θ = √2 / 2

We know that from trigonometric ratio,

[tex]cos \theta = \frac{Adjacent}{Hypotenuse}[/tex] , [tex]cot \theta = \frac{Adjacent }{ Opposite }[/tex]

So, the adjacent side = √2 and the hypotenuse side = 2.

The other side of the right triangle can be found by Pythagoras theorem,

[tex]hypotenuse^{2}=adjacent^{2}+opposite^{2}[/tex]

⇒ [tex]2^{2}=(\sqrt{2} )^{2} +opposite^{2}[/tex]

⇒ [tex]opposite^{2} = 4-2[/tex]

⇒ [tex]opposite = \sqrt{2}[/tex]

Thus, [tex]cot \theta = \frac{\sqrt{2} }{\sqrt{2} }[/tex]

⇒ [tex]cot \theta = 1[/tex]

Since cot θ < 0, [tex]cot \theta = - 1[/tex]

Hence we can conclude that the cotangent in simplest form is -1.

Learn more about trigonometry here

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Related Questions

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Answers

Answer:

3x - y = -1

Step-by-step explanation:

y - y₁ = m(x - x₁)

substitute (1,4) in for (x₁, y₁) respectively and the slope of 3 in for m

y -4 = 3(x - 1)

distribute 3 to (x - 1)

y - 4 = 3x -3

isolate 3x by itself by adding 3 to both sides

y - 1 = 3x

subtract y from each side

-1 = 3x - y

and just flip around the equation to make it look nicer

3x - y = -1

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Answers

Answer:

180 boys

Step-by-step explanation:

If there is a ratio of 9 boys : 11 girls

9 + 11 = 20 total

And if there are 400 students total in the school

400/20 = 20.

9 * 20 = 180

11 * 20 = 220

So the ratio of 400 pupils would now be 180 boys: 220 girls

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Answers

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Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

We want to reduce the radical. In order to do that, we want to find the factors of 96 that are square numbers

The factors of 96 are:

[tex]1, 96, 2, 48, 3, 32, 4, 24, 6, 16...[/tex]

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

second option :)

Step-by-step explanation:

Answer:

B.

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Step-by-step explanation:

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Answers

I hope it is helpful for you ....


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Answers

divide

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Answer:

The answer is in the screenshot I have attached.

Step-by-step explanation:

The work is also in the screenshot that is attached. Hope this helped!

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Answers

Answer:

z ≥ − 8

Step-by-step explanation:

Jacob earns $7.25 an hour at his part-time job, and earns $9 each time he mows the lawn for his mother. He graphs the amount of hours he works at his job (x) and the number of lawns he mows (y) to determine how to earn at least $300. Which type of boundary line

Answers

Answer: $7.25 at part-time job

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

The length of a rectangle is two more than two times its width. The perimeter of the rectang
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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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2.) Given only two points, it is easy to find the equation of the line when you find first the _______________.

Answers

Answer:

1) coordinates

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Step-by-step explanation:

The equation of a line is given by the two equations:

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WILL GIVE BRAINLIEST
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Answers

Answer:

x − 9 x ^2 − 8

Step-by-step explanation:

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Answers

Answer:

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Answers

Let me know if u get a answer

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Solve the system using the equation elimination . Write your answer as an ordered pair (x, y, z).
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Answers

Answer:

x = 2

y = -3

z = 4

( 2 , -3, 4 )

Step-by-step explanation:

x + y + z = 3 ---- i

x – y =5 ---- ii

y - z = -7 ---- iii

ii + iii

x - z = -2 ---- iv

i + ii

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iv + v

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Answers

Answer:

= -32a+64b

Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

36

Step-by-step explanation:

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Answers

Answer:

Well it seems like you figured it out, thanks for the points :)

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