1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Andrew [12]
3 years ago
6

What is the correct definition for cot theta?

Mathematics
2 answers:
yan [13]3 years ago
8 0

The <em>correct answer</em> is:

cot θ = (cos θ)/(sin θ).

Explanation:

We know that the tangent ratio is opposite/adjacent (O/A).

The ratio for sine is opposite/hypotenuse (O/H), and the ratio for cosine is adjacent/hypotenuse (A/H).

If we divide these two,

\frac{\text{O}}{\text{H}}\div \frac{\text{A}}{\text{H}} \\ \\=\frac{\text{O}}{\text{H}} \times \frac{\text{H}}{\text{A}}=\frac{\text{OH}}{\text{HA}} \\ \\=\frac{\text{O}}{\text{A}}

This is the same as the ratio for tangent, so we know that

tan θ = (sin θ)/(cos θ).

Since cot θ = 1/(tan θ), we now have

\cot \theta = \frac{1}{\frac{\sin \theta}{\cos \theta}} \\ \\=1 \div \frac{\sin \theta}{\cos \theta}=1 \times \frac{\cos \theta}{\sin \theta} \\ \\=\frac{\cos \theta}{\sin \theta}

NemiM [27]3 years ago
5 0

The correct definition for cot theta is (cos theta)/(sin theta). <span>Cotangent </span><span>(in a right-angled triangle) the ratio of the side (other than the hypotenuse) adjacent to a particular acute angle to the side opposite the angle. </span>I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

You might be interested in
A can of tuna has a volume 18pi cm3 and a height of 2 cm. Find the area of the label that wraps around the entire can and does n
Sphinxa [80]

Answer:

The area of the label is 12\pi\ cm^{2}

Step-by-step explanation:

step 1

Find the radius

we know that

The volume of the cylinder (can of tuna) is equal to

V=\pi r^{2} h

In this problem we have

V=18\pi\ cm^{3}

h=2\ cm

substitute and solve for r

18\pi=\pi r^{2} (2)

Simplify

18=r^{2}(2)

r^{2}=9

r=3\ cm

step 2

<em>Find the lateral area of the can</em>

The lateral area of the cylinder (can of tuna) is equal to

LA=2\pi rh

we have

r=3\ cm

h=2\ cm

LA=2\pi (3)(2)=12\pi\ cm^{2}

5 0
3 years ago
Each day the sharks at an aquarium are each fed 12 pounds of fish for every 100 pounds of their body weight. If a shark at the a
Vitek1552 [10]

Answer:

40.8 lbs

Step-by-step explanation:

First find how many 100 pounds are in the 340 lbs shark.

340/100=3.4

The sharks are fed 12 lbs of fish for every 100 pounds of shark.

There are 3.4 hundred pounds in this shark.

3.4*12=40.8; 40.8 lbs

4 0
3 years ago
The 22 members of a baseball team are trying to raise at least $1968.00 to cover the traveling cost for a holiday tournament. If
Rus_ich [418]

About $70.31.

You would take $1968.00 and subtract $421.00 from it. Once you've subtracted, you would have gotten $1547.00. You would divide $1547.00 by the 22 people and get about $70.31 per person. :)

8 0
3 years ago
A pet store has 2 gray rabbits one eight of the rabbits at the pet store are gray. How many rabbits does the pet store have?
Eduardwww [97]
2 = 1/8
2 x 8 = 16
16 = 8/8
Glad to Help!
3 0
3 years ago
There are 4 boxes of crayons that will be shared by 8 students. How many boxes of crayons does each student get? Choose the corr
rjkz [21]

Answer:

1/2 a box

Step-by-step explanation:

as you are sharing 4 objects between 8 people, all you have to do is divide them.

4 ÷ 8 = 0.5 (1/2)

7 0
4 years ago
Other questions:
  • if there is a vertical line that intersects the graph of a relation in more than one point then the relation is a function true
    14·1 answer
  • What is 52000-53800=? Show work
    9·1 answer
  • Find the slope!!!!!!!! Help!!!!!!!
    5·1 answer
  • QUESTION 5
    7·1 answer
  • Using distributive property what is the value of the expression for 2(-5 + 3)
    11·1 answer
  • 3 bags of chips cost 5.55. How much does 2 bags of chips cost?<br>​
    15·2 answers
  • PLEASE HURRY AM TIMED<br> 3 1/3÷1 1/4 to the nearest whole number.
    15·2 answers
  • 1. Find the 90% Cl for the population mean if sample
    10·1 answer
  • Halp u-u
    7·2 answers
  • A 9-foot piece of ribbon costs $20.07. What is the price per yard?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!