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
Please answer this math question for me
LiRa [457]

Answer:

Hello! answer: e = 108 d = 32 f = 40 because

108 + 108 + 32 + 32 + 40 + 40 = 360 Hope this helps!

4 0
3 years ago
Everything is in the picture PLEASE HELP me ASAP and I'll give you the BRAINLIEST PLS IM BEGGING ​
anygoal [31]

Answer:

21.5cm²

Step-by-step explanation:

First you find out the Area of the square itself which is 100cm² (squared). Then you Find the Area of the circle. The formula to find the area of a circle is  π  × Radius². So you find the diameter of the circle (which is 10) and divide that by 2 to find the radius. So the radius is 5 but then you need to square 5 which is 25. Then you multiply 25 with pi which is 78.5 so the area of the circle is 78.5cm². Now what you have to do is subtract the area of the square and the area of the circle to find the area of the shaded region. 100-78.5 is 21.5cm ² and that is the answer.

4 0
2 years ago
Jasmine claims that the two triangles are congruent since the Side-Angle-Side (SAS) triangle congruence criterion ensures that a
Paul [167]
4. The claim is incorrect since the triangles do not meet the SAS triangle congruence criterion
4 0
3 years ago
The graph shows the value of a car At different years after janine purchased it. which answer is the best estimate for the avera
elixir [45]
I think it is -550/year
3 0
3 years ago
Read 2 more answers
find the total thickness of two pieces of wood that a carpenter glued together IF one piece is 6/16 inches thick and the other p
Alexus [3.1K]

Answer:

It is simple add 6/16 + 7/8 = 20 /16 simplified will be 5/4 then in improper fraction will be 1 1/4 inches thick is the final answer.

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • What are the measures of Arc J K and ∠KIJ?
    15·2 answers
  • Which trigonometric function would you use to solve the problem? If S=27° and TR=7 find TS (picture provided)
    8·1 answer
  • What is the probability that a person who is older than 35 years has a hemoglobin level between 9 and 11? A. 0.257 B. 0.284 C. 0
    9·1 answer
  • What number has the same value as 14
    9·2 answers
  • HELP ME PLS ITS BEEN 20 MINUTES
    9·2 answers
  • Write the point-slope form of the line that passes through the points (-2, 1) and (0, 1). Identify (x1, y1) as (-2, 1).
    12·1 answer
  • What are some relationships you can see between &lt;1 , &lt;2 ,
    13·1 answer
  • What is the measure of angle Y?<br> 60 40
    14·1 answer
  • Solve for i.<br> 3 - 4j &gt; 7
    6·2 answers
  • Which inequality explains why these three segments cannot be used to construct a triangle? ef fd &gt; de ed ef &lt; df ed ef &gt
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!