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
expeople1 [14]
3 years ago
9

Θ is in Quadrant III and cos^2 0= 1/4

Mathematics
1 answer:
pychu [463]3 years ago
7 0
I think you mean to say \cos^2\theta=\dfrac14. If \theta is in the third quadrant, then \sin\theta and \cos\theta. Recall that


\sin^2\theta+\cos^2\theta=1\implies\sin\theta=\pm\sqrt{1-\cos^2\theta}

We expect \sin\theta to be negative, so we take the negative root. We end up with

\sin\theta=-\sqrt{1-\dfrac14}=-\dfrac{\sqrt3}2

We also know to expect \cos\theta, so

\cos\theta=\pm\sqrt{\dfrac14}\implies\cos\theta=-\dfrac12


By definition, we have

\cot\theta=\dfrac{\cos\theta}{\sin\theta}

and so

\cot\theta=\dfrac{-\frac12}{-\frac{\sqrt3}2}=\dfrac1{\sqrt3}
You might be interested in
Is my answer correct ??
serious [3.7K]

Answer:

it is correct indeed,

Step-by-step explanation:

quick google search says so

3 0
3 years ago
Read 2 more answers
What is the value of y?​
prohojiy [21]

Answer:

it is 108 because 180-72

8 0
3 years ago
What is 30.12 rounded to one decimal place
leva [86]
 it should be rounded to 30.1
5 0
4 years ago
Read 2 more answers
An isosceles triangle’s altitude will bisect its base. Which expression could be used to find the area of the isosceles triangle
omeli [17]

Answer:

\dfrac{\sqrt{40}\cdot \sqrt{40}}{2}

Step-by-step explanation:

The length of the base is the distance between the points 4+2i and 10+4i, so

\text{Base}=|10+4i-(4+2i)|=|10+4i-4-2i|=|6+2i|=\sqrt{6^2+2^2}=\\ \\=\sqrt{36+4}=\sqrt{40}

The middle point of the base is placed at point

\dfrac{4+2i+10+4i}{2}=\dfrac{6i+14}{2}=7+3i

The length of the height is the distance between the points 5+9i and 7+3i

\text{Height}=|5+9i-(7+3i)|=|5+9i-7-3i|=|-2+6i|=\sqrt{(-2)^2+6^2}=\\ \\=\sqrt{4+36}=\sqrt{40}

So, the area of the triangle is

A=\dfrac{1}{2}\cdot \text{Base}\cdot \text{Height}=\dfrac{\sqrt{40}\cdot \sqrt{40}}{2}

4 0
3 years ago
Which of the following graphs is described by the function given below?
dusya [7]

Step-by-step explanation:

D. Graph D the answer is D

6 0
3 years ago
Other questions:
  • Geometry proofs <br> Need help!!
    11·1 answer
  • What is the recursive rule for the sequence? 3, −1, 1/3, −1/9, ...
    12·2 answers
  • A car rental agency charges $50
    13·1 answer
  • I have 2 questions to ask 1 is divide 180 degrees in a ratio of 4,5 and 9
    9·1 answer
  • If a plane is cruising at an altitude of 30,000
    10·1 answer
  • Alison earns $75 per week working at the grocery store. She wants to save 25 percent of her weekly earnings. How much should she
    11·1 answer
  • Given that (3.14*18)*17.5=3.14*(3p*17.5).Find the value of p
    10·1 answer
  • Please help thank ya!
    5·1 answer
  • The width of a rectangle a is 12 cm less than the length. The perimeter is 156 cm. Which
    7·1 answer
  • Hello how are you doing?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!