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

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

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

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

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

https://brainly.com/question/16965914

#SPJ2

Related Questions

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

$9.00 every time lawn mowed

so he would get 33.33 day so we will just say 33 times to get 300 dollars if he gets $9 for mowing. And 41.37 hours to get $300 and he would have to use x and y graph to find the boundary line.

Step-by-step explanation:

As an estimation we are told 5 miles is 8 km. 
Convert 60 km to miles.​

Answers

Answer:

37.5 miles

Step-by-step explanation:

We can find the rate of conversion by dividing kilometers by miles. 5÷8=1.6, so 1.6 km = 1 mile. Now we can divide 60 by 1.6 to find miles.

[tex]60/1.6=37.5[/tex]

Hope this helped!

Answer:

96 km

Step-by-step explanation:

I try it its 96 km

Trust me

Jorge: 5 miles every 9 hours
Find Unit Rate

Answers

Answer: 0.555... miles per hour.

Step-by-step explanation: 5/9 = 0.555...

please help me asap brainliest if correct

Answers

Answer:

z ≥ − 8

Step-by-step explanation:

If 25 gallons of gasoline has been used after driving 700 miles,how many gallons of gasoline would be used after driving 1,000 miles?

Answers

35 ( I’ve done this question before, this is the right answer ! )

Point E is the midpoint of ab and point F is the midpoint of cd

Answers

I hope it is helpful for you ....


4. a. If the original lengths are multiplied by 2, what are the new coordinates? *

Answers

divide

Step-by-step explanation:

But i think I know what you need to do so first count the graph like see where it is pointed at then divide and u get ur answer Again im not sure but maybe

A ceramic sugar bowl weighs 340 grams when empty. It is then filled with sugar. One tablespoon of sugar weighs 12.5 grams. When the sugar bowl is full, it weighs 740 grams. How many tablespoons of sugar can the bowl hold? Show your reasoning.

Answers

Let me know if u get a answer

need help plzzzzzzzzzzzz what is it

Answers

Answer:

36

Step-by-step explanation:

8 x 9 = 72

72 ÷ 2 = 36

Find the measurements of the height and length then multiply them together.

Now, divide the sum by two because a triangle has half the area of a square's area.

8(-4a + 8b) = 240please​

Answers

Answer:

= -32a+64b

Step-by-step explanation:

thats the answer

The length of a rectangle is two more than two times its width. The perimeter of the rectang
52m. What is the area of the rectangle?
A
144 in2
B
18 in2
С
26 in2
D
8 in2

Answers

Answer:

a

Step-by-step explanation:

Someone please help me :((

Answers

Answer: its the third one

Step-by-step explanation:

:)

What is the point slope form of a line that has a slope of 3 and passes through point (1, 4)?

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

What is the value of x?

12
15
20
24

ANSWER: 20

Can someone explain this question I don’t understand it.

Answers

Answer:

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

Solve for the equation -4(5 + 2) + 2 +4= 50

Answers

Answer:

− 22 = 50

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!

√n is approximately equal 4.2 then n is between

Answers

Answer:

5.24

Step-by-step explanation:

Which system is equivalent to StartLayout Enlarged left-brace 1st Row 3 x squared minus 4 y squared = 25 2nd row negative 6 x squared minus 2 y squared = 11 EndLayout

Answers

Answer:

second option :)

Step-by-step explanation:

Answer:

B.

StartLayout Enlarged left-brace 1st Row 3 x squared minus 4 y squared = 25 2nd row negative 12 x squared + 4 y squared = 22 EndLayout

Step-by-step explanation:

What’s the algebraic expression for 9,12,1518

Answers

Answer:

Just getting points i hope u find the answer tho :))

Step-by-step explanation:

Whích best describes the range of the function f(x) = } 6)* after it has been reflected over the x-axis?
all real numbers
all real numbers less than 0
all real numbers greater than 0
O all real numbers less than or equal to 0

Answers

Answer:

c

Step-by-step explanation:

im right i took the test

WILL GIVE BRAINLIEST
Subtract 9x^2+7x-2
from 8x-10

Answers

Answer:

x − 9 x ^2 − 8

Step-by-step explanation:

-
Solve the system using the equation elimination . Write your answer as an ordered pair (x, y, z).
x + y + z = 3
X – y=5
y - z = -7

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

2x + z = 8 --- v

iv + v

3x = 6

x = 2

x=2 substitute for v

z = 4

x =2 substitute for ii

y = -3

How many right handed players are there?

Answers

Answer:

there are 30 right-handed players on the team

Is there something out there, a thought, an idea, a current event, or a fear that you find deeply unsettling?

Answers

Global warming, over population, littering, and many more

1.) We can write a equation of a line when we know only the slope and the _____________ of any point of the line.
2.) Given only two points, it is easy to find the equation of the line when you find first the _______________.

Answers

Answer:

1) coordinates

2) slope

Step-by-step explanation:

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

[tex]y=mx+b[/tex], where m is the slope and b is the y-intercept, or

[tex]y-y_1=m(x-x_1)[/tex], where x₁ and y₁ is the location of any point on the line, and m is the slope.

→ As such, we know that given the slope and the coordinates of any point on a line, we can write the line's equation.

We can also find the slope of a straight line between two points with the following equation:

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex], where m is the slope, x1 and y1 is the location of the first point, and x2 and y2 is the location of the second point. Remember: rise (y) over run (x).

→ So, given only two points, it is easy to find the equation of the line when you first find the slope.

What's y'all favorite tic tok sound?

Answers

Answer:

Laxed (SIREN BEAT)" by Jawsh 685

Step-by-step explanation:

if a triangle has a side length of 10
12 and 15 what type of triangle is it

Answers

Acute. Step-by-step explanation: Using the Triangle Inequality Theorem you know that the sum of the lengths of two sides of a triangle are greater than the length of the third side.

Go step by step to reduce the radical.
The square root of 96

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]

16 is a square number, so we can rewrite

[tex]\sqrt{96} = \sqrt{16*6} = \sqrt{16} * \sqrt{6} = 4\sqrt{6}[/tex]

Write an equation for this $13 more than twice the cost of a video game is $67. Find the cost of the video game.

Answers

Answer:

13+2x=67 soooooo x = 27 so the video game is $27 and thats the equation

Step-by-step explanation:

The ratio of boys to girls in a school is 9 : 11. If there are 400 pupils in the school, how many boys are there?

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

solve for x plsssss help me out

Answers

Answer:

-11

Step-by-step explanation:

Triangles have 180 degrees

using the vertical angle theory we know that 80 and 60 are angles

We can subtract them from 180 to get 40 left

this minus 51 is -11

x is -11

Other Questions
How did the location of Greek city-states contribute to each having its own community and government? HCF of 16, 50, 80 I need it please help me A $120 wagon is on sale for 15 percent off. What is the sale price of the wagon? $18$102$105$108 BD bisects ABC.Find mZABD, mZCBD, and m ZABC.A(3x + 6DB (7x 18)C Please help:) Due soon!:)Is it:A: y-4= -2/3(x+3)B: y-2= -2/3(x-6)C: y+4= 2/3(x-3)D: y+6= 2/3(x-2) Accuracy in the translation of mRNA into the primary structure of a polypeptide depends on specificity in the ________.a) binding of ribosomes to mRNA.b) binding of the anticodon to small subunit of the ribosome.c) attachment of amino acids to rRNAs.d) binding of the anticodon to the codon and the attachment of amino acids to tRNAs. A cow is eating green grass that grows in a field.Which type of organism is the grass in this scenarioconsumerdecomposerpreyproducer What were the challenges that Elizabeth faced as Queen of England. You own a movie theater. The theater generates $100,000 per year in net income. This is expected to grow at 2% per year. Someone offers to buy the theater from you. How much should you charge as the selling price of the theater? a coin is tossed 4 times, find the probability of getting 4 heads. how do you separate salt from sugar Solve this please!!!!! A card is drawn from a standard deck of 52 cards. What is the probability this card will be a king or an ace?A. about 3.9%B. about 7.7%C. about 15.4%D. about 50% i need help yall i dont understand this find the values of x, y, and z Which of the following routines represents the most appropriate form of exercise that a personshould participate in at the beginning of a fitness program?A. Vigorous aerobic dance three times a weekB. Brisk walking for thirty minutes three times a weekC. Running three to five miles two times a weekD. Swimming for one hour five times a week HURRY plzz Identify to corresponding side to side HG. PLEASE 100 POINTS !!!!!! Max shot a video with a digital camera. Where did the video files get stored in the camera? A. solid-state device B. secure digital card C. magnetic tape D. hard disk drive consider the equation x-y=-1 ..calculate the value of y if x =1 Jody's older brother is only three years less than twice Jody's age. If the sum of their ages is 30, write an equation (do not solve) to find the age of Jody's brother.