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

what is the equation of the line in slope intercept form

Answers

Answer:

y=-3/2+1

Step-by-step explanation:

Keesha will mow grass for $8 per hour write in standard form

Answers

Answer: y = 8x

Step-by-step explanation:

6 divided by 2/3 = tell me thee answer in fraction form

Answers

Answer:

There wouldn't be a fraction form because its a whole number which is 9

Evaluate the expression for 1/2(2x+8)+6x and explain your process

Answers

Answer:

7x+4

Step-by-step explanation:

1/2(2x+8)

=x+4

x+4+6x

=7x+4

PLS GIVE BRAINLIEST

Answer:

7x+4

Step-by-step explanation:

1/2(2x+8)+6x

divide by 2 or multiply 1/2 it equals the same anyway

x+4+6x

add like terms

7x+4

What is the value of ?

Answers

Answer:

65

Step-by-step explanation:

What is the x-intercept of the line graphed on the grid?​

Answers

Answer:

2

Step-by-step explanation:

If you use rise over run, you should get to. From one point to the other, the rise is 2 and the run to the right is 1. So, you do 2 divided by 1, which is 2. So, the slope would be 2.

Brainliest for correct answer! There are several ways to collect data. Which of the following is crucial for statisticians to call a method an experiment?
A. Eliminating bias
B. Randomness
C. Researcher assigns subjects to groups
D. Placebos

Answers

Answer:

I think the answer would be A

Answer:

A

Step-by-step explanation:

Solve 3x2 + 4x = 2. ??​

Answers

Answer: Answer: The answer should be x = -1. Hope this helps!

The sum of four times a number and negative three is twelve. What is the number?

2 1/4
3 3/4
-2 1/4
6

Answers

The second one because, 3 3/4 x 4 equals 15 which is the sum of 3 3/4 x 4, minus 3 equals 12.

Answer:

Dgfyb

Step-by-step explanation:

what is always true about a line that Slants downward from left to right select all that apply help plz​

Answers

Answer:

A line that slants down from left to right has a negative slope. Horizontal and vertical lines also have a slope.

Step-by-step explanation:

You are given the following sequences: Sequence A: 5, 11, 17, 23... Sequence B: 4000, 1000, 250, 62.5... Part A: Determine whether each sequence is arithmetic, geometric (2 pts) Part B: Write an explicit formula for each sequence (6 pts) Part C: Find the 6th term of each sequence (2 pts)

Answers

Answer:

I believe the first is arithmetic because it has a difference Of 6 between each number. The second is geometric because each number is divided by 4 to get the next number

Step-by-step explanation:

5, 11, 17, 23, 29, 35. (Difference of 6)

4000, 1000, 250, 62.5, 15.62, 3.90 (divide by 4)

As for the formulas I’m not sure, but I I would guess something like

an=6n-1

an=n/4

I am not sure about the formulas though

i need help with the group 1 and group 2, what do i write in the boxes :((

Answers

I don’t see anything it’s a black screen

Fill in the blank so that the relation is NOT A FUNCTION. Type a number only in the blank. The blank represents the x-value of the last ordered pair. {(4.5),(0, -1), (-7,0). (-3,8). ( type your answer .. -1)​

Answers

Can you provide a photo question ?

What is the factored form of the expression 24x + 64y?

Answers

Answer:

8(3x+8y)

Step-by-step explanation:

Answer:

24x + 64y

Step-by-step explanation:

Ok now these are my very last points please help

Answers

Answer:

wait what grade are you in ?

IM GIVING BRAINLIEST AND 50PTS TO SOMEONE THAT CAN ANSWER THE FOLLOWING QUESTION CORRECTLY
given the following linear function sketch the graph of the function and find the domain and range

f(x) = 2/7x - 2

i am giving brainliest to the first person that answers this and follows all the directions

Answers

Tell us the value of the variable to solve

The graph is attached btw

Answer:

Bet.

Step-by-step explanation:

A bakery has 72 half gallons of milk. It takes 1 2/3 cups of milk to make a cake. Note that 1/8 half gallon=0.125 half gallon. How many cakes can the bakery make?

Answers

Answer:

The total cake make in the bakery ≅ 346 cakes

Step-by-step explanation:

Given that:

A bakery has 72 half gallons of milk

It takes [tex]1\dfrac{2}{3}[/tex] cups of milk to make the cake ;

i.e. [tex]\dfrac{5}{3}[/tex] cups of milk to make the cake after we converted the mixed fraction to an improper fraction.

Also,1 cup =  [tex]\dfrac{1}{8}[/tex] half gallons = 0.125 half gallons

Thus, the amount of milk required to make the cake = [tex]\dfrac{1}{8} \times \dfrac{5}{3}[/tex]

[tex]= 0.125 \times \dfrac{5}{3}[/tex]

= 0.208

The total cake make in the bakery = [tex]\dfrac{72}{0.208}[/tex]

The total cake make in the bakery = 346.15

The total cake make in the bakery ≅ 346 cakes

The volume of a solid cube is 1700m3.
Work out the surface area.
Give your answer rounded to 1 DP.

Answers

Answer:

849.7m2

Step-by-step explanation:

L= length

SA = surface area

volume = L x L x L

1700= L x L x L

find cube root

=11.93m

round off to 1 dp

=11.9m

SA= 6( L x L)

     = 6( 11.9 x 11.9)

       =6(141.61)

       =849.66m2

round off to 1 dp

=849.7m2

what is f(x) = 0,5 (x-3)( x-5) in general form??​

Answers

Answer:

[tex]f(x)=0.5x^2-4x+7.5[/tex]

Step-by-step explanation:

The general form of a quadratic function is:

[tex]y=ax^2+bx+c[/tex]

We'll find the general form of the function:

[tex]f(x)=0.5(x-3)(x-5)[/tex]

Multiplying the expressions in parentheses:

[tex]f(x)=0.5(x^2-5x-3x+15)[/tex]

Simplifying:

[tex]f(x)=0.5(x^2-8x+15)[/tex]

Operating:

[tex]\mathbf{f(x)=0.5x^2-4x+7.5}[/tex]

what is the value of x that satisfies the following equation
1 over 3 ( x - 9) = 2 over 3 (2x + 6)​

Answers

Answer:

x=-7

Step-by-step explanation:

BRAINLIEST PLS

(5i-3)(9i+1)
Answer must be in standard form

Answers

Answer:

-48-22i

Step-by-step explanation:

I NEED HELP ON THIS TOOO!!! IMPORTANT!!!! EMERGENCY!!!!!

Answers

Answer:

$ 2188

Step-by-step explanation:

12.5%*17500=(12.5/100)*17500=12.5*175=2188

What is -19 equal to

Answers

Answer:

-19

Step-by-step explanation:

I am doing a science project and need a fun or short title. The project is on whether filtered water affects plant growth. Any creative title ideas?

Answers

Answer: Water: The battle between the clean vs the dirty :P

Step-by-step explanation:

-6 5 4 3 2 1
1 2 3 4 5 6
1
1-2
-3
Water Slide
Restrooms
-5

Answers

Answer:

I am sorry what are you showing

A.
B.
C.
D.

Help me please!!

Answers

It's B!!!           ik cuz i ggogled it lol

Answer:

I think the answer is B. $92

Step-by-step explanation:

$80 time (115 on calculator will give you 9200

What is the equation of the line shown in the coordinate plane below?
Identify if the following relations are functions (yes or no)? Identify the domain and range for each.
{(-6, 5), (-4, 3), (-1, 0), (4, 3)}

Answers

Answer:

Step-by-step explanation:

domains:-6,-4,-1,4

Range:5,3,0,3

will you include the image of the line so i can answer the rest of the question?

The difference between two same side interior angles of two parallel lines is 35 degrees. Find the measures of these two angles.

Answers

Answer:

  107.5° and 72.5°

Step-by-step explanation:

  x + y = 180          same side interior angles of two parallel lines add up to 180

  x - y = 35            

___________

     2x = 215                           add above two equations

       x = 107.5°                       divide by 2 to isolate x

Substitution to find y:

  x + y = 180

  107.5 + y = 180

              y = 72.5°

The measure of these two angles is 107.5° and 72.5°.

Given that,

The difference between two same-side interior angles of two parallel lines is 35 degrees.We need to find the measure of the two angles. Here we assume the two angles be x and y.

Based on the above information, the calculation is as follows:

x + y = 180          

And,

x - y = 35            

So, after solving it, it comes

2x = 215                            

x = 107.5°                  

So, y = 180 - 107.50 = 72.5

Therefore we can conclude that the measure of these two angles is 107.5° and 72.5°.

Learn more: brainly.com/question/13549064

Therefore we can conclude that

A business recently upgraded a conference TV they had in their conference room. Originally the TV was 32 inches (across the diagonal) and had a perimeter of 87.16 inches. The new TV is 70 inches across the diagonal. Since the new TV will be recessed in the wall, it will need trim put on the border. What is the perimeter of the new TV? Round your answer to two decimal places.

Answers

Answer:

The perimeter of the new TV is approximately  95.32 inches

Step-by-step explanation:

The diagonal dimension of the original TV = 32 inches

The perimeter of the original TV = 87.16 inches

The diagonal dimension of the new TV = 70 inches

The perimeter of the new TV = 87.16 inches

For the original TV, we have;

Let w be the width of the original TV and l be the length of the original TV, we have;

2·w + 2·l = 87.16

√(w² + l²) = 32

Therefore, we have;

32² = w² + l²

w = (87.16 - 2·l)/2

w = 43.58 - l

32² = l² + (43.58 - l)²

l² + (43.58 - l)² - 32² = 0

l² + 43.58² - 2 × 43.85 × l + l² - 32² = 0

2·l² - 87.16·l + 875.2164 = 0

By the quadratic formula, we have;

l = (87.16 ± √((-87.16)² - 4×2 × 875.2164))/(2 × 2)

Therefore, l = 27.89 inches or l = 15.69

Therefore, w = (87.16 - 2·l)/2 = (87.16 - 2× 27.89)/2 = 15.69

or w = (87.16 - 2× 15.69)/2 = 27.89

Whereby the ratio of the width to the length of the original TV and the new TV are the same, we have;

15.69/27.89

w₂/l₂ for the new TV = 15.69/27.89

∴ w₂ = l₂ × 15.69/27.89

w₂² + l₂² = 70²

∴ (l₂ × 15.69/27.89)² + l₂² = 70²

l₂² × (15.69/27.89)² + l₂² = 70²

l₂²((15.69/27.89)² + 1) = 70²

l₂² = 70²/((15.69/27.89)² + 1) = 3722.04

l₂ = √(3722.04) ≈ 61.0

w₂ = l₂ × 15.69/27.89 = 61 × 15.69/27.89 ≈ 34.32

Therefore;

The perimeter of the new TV = 34.32 + 61 = 95.32 inches.

In this exercise we have to use the knowledge and information given to calculate the perimeter that will correspond to:

The perimeter of the new TV is approximately  95.32 inches

So the data for this exercise is from:

The diagonal dimension of the original TV = 32 inches The perimeter of the original TV = 87.16 inches The diagonal dimension of the new TV = 70 inches The perimeter of the new TV = 87.16 inches

Let w be the width of the original TV and l be the length of the original TV, we have;

[tex]2*(w) + 2*(l) = 87.16\\\sqrt{(w^2 + l^2)} = 32[/tex]

Therefore, we have:

[tex]32^2 = w^2 + l^2\\w = (87.16 - 2*l)/2\\w = 43.58 - l\\32^2 = l^2 + (43.58 - l)^2\\l^2 + (43.58 - l)^2 - 32^2 = 0\\l^2 + 43.58^2 - (2 * 43.85 * l)+ l^2 - 32^2 = 0\\(2)*(l)^2 - 87.16*l + 875.2164 = 0[/tex]

By the quadratic formula, we have;

[tex]l = (87.16 +/- \sqrt{((-87.16)^2 - 4*2 * 875.2164))/(2 * 2)} )[/tex]

Therefore:

[tex]w = (87.16 - (2)*(l))/2 = (87.16 - 2* 27.89)/2 = 15.69\\w = (87.16 - 2* 15.69)/2 = 27.89[/tex]

Whereby the ratio of the width to the length of the original TV and the new TV are the same, we have;

w₂/l₂ for the new TV = [tex]15.69/27.89[/tex]

[tex]w_2 = (l_2)* (15.69/27.89)\\w_2^2 + l_2^2 = 70^2\\(l_2 *15.69/27.89)^2 + l^2_2 = 70^2\\l^2_2 * (15.69/27.89)^2 + l^2_2 = 70^2\\l^2_2((15.69/27.89)^2 + 1) = 70^2\\l^2_2 = 70^2/((15.69/27.89)^2 + 1) = 3722.04\\l_2 = \sqrt{(3722.04)} = 61.0\\w_2= l_2 * 15.69/27.89 = 61 * 15.69/27.89 = 34.32\\[/tex]  

The perimeter of the new TV :

[tex]P = 34.32 + 61 = 95.32[/tex]

See more about perimeter at brainly.com/question/6465134

I need help plz answer this

Answers

Answer: A. (5)(5x+2y)

Step-by-step explanation:

Other Questions
The story is the sword in the stone also the aces tradegy is very important Suppose you have the following three zero-coupon bond (ZCB) available: a 1-year ZCB that costs $97, a 2-year ZCB that costs $95, and a 3-year ZCB that costs $92. Assume that the par values are $100. a. What must the price of a 3-year coupon bond with at 8% coupon rate?b. How would you make an arbitrage profit if the coupon bond was trading at $100? c. How much arbitrage profit would you make per $100 of the 3-year coupon bond trade? charaterictics of national development Which two elements have similar properties and 8 electrons in their outermost shells?A. Chlorine and bromineB. Calcium and strontiumC. Nitrogen and phosphorusD. Argon and krypton ** THE ANSWER IS D ** Which is the same as dividing a number by 10?A, Move the decimal one place to the left.B, Move the decimal one place to the right.C, Move the decimal two places to the left.D, Move the decimal two places to the right. What is Point-Slope Form? What is Slope Intercept Form? What is the Slope Formula?i included pictures please help it closes in 30 minutes pls give exact answers 10/8 and 1 1/4equivalentnot equivalent which statement best explains what happens during an earthquake How many 9 digit numbers have their first and last digits even? what caused the United States to become involved in World War 1? Plz help I can not think of anything1. ASSIGNMENT:Start with a brainstorming exercise. In the space provided, write at least THREE possible topics for your personal narrative. Write the topic and its theme, moral, or lesson for each.Each topic MUST have an accompanying theme, moral, or lesson learned. A shipment of 12 microwave ovens contains 2 defective units. A restaurant buys 4 of these units. What is the probability of the restaurant buying at least 3 nondefective units? The probability of the restaurant buying at least 3 nondefective units is 5. Using commutativity and associativity of addition of rational numbers, express eachof the following as a rational number. 1. 2/5 +7/3+-4/5 +-1/32. 3/7+-4/9+-11 /7 +7/93. 2/5+8/3+-11 /15+4/5+-2/34. 4/7+0+-8/9-13/7+17/21So important please tell me fast. As an estimation we are told 5 miles is 8 km. Convert 24 km to miles. The polygons below are similar. Find the scale factor of the SMALLER figure to the LARGER.A. 5:6B. 3:5C. 5:8D. 2:5 Find the segment length indicated. Assume the lines which appear to betangent are tangent. The center is marked.6.66.6O 16.9O 8.9O 10.2O 11.2 How does our federal system increase access Compress00eb:0000:0000:0000:d8c1:0946:0272:879IPV6 Address Which type of climate is experienced in the northern countries of South America?A. tropicalB. dryC. coldD. arctic In what type of plate boundary did volcanoes form?u