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
Ad libitum [116K]
3 years ago
9

Or an angle θ with the point (−20, −21) on its terminating side, what is the value of cosine?

Mathematics
2 answers:
coldgirl [10]3 years ago
5 0

Answer:

The value of cosine is \cos \theta=-\frac{20}{29}.

Step-by-step explanation:

It is given that an angle θ with the point (−20, −21) on its terminating side.

It means the right angle triangle is formed in third quadrant where length of the perpendicular is 21 and the base is 20.

According to the Pythagoras theorem,

hypotenuse^2=base^2+perpendicular^2

hypotenuse^2=(20)^2+(21)^2

hypotenuse^2=400+441

hypotenuse^2=841

Taking square root both the sides.

hypotenuse=\sqrt{841}

hypotenuse=29

In a right angled triangle,

\cos \theta=\frac{base}{hypotenuse}

\cos \theta=\frac{20}{29}

θ lie in the third quadrant and cosine is negative in third quadrant.

\cos \theta=-\frac{20}{29}

Therefore the value of cosine is \cos \theta=-\frac{20}{29}.

kherson [118]3 years ago
3 0
Cos(θ) = -20/√((-20)^2 +(-21)^2)
.. = -20/-√841 . . . . . . . . . . . . . . . . . θ is a 4th-quadrant angle, so cos(θ) > 0
.. = 20/29

The value of the cosine is 20/29.
You might be interested in
If l || m find the value of y
Darina [25.2K]
That means they are parallel so it’s 6
5 0
3 years ago
Write an equation of the line below.
Masja [62]

Answer:

y = -1/3x

Step-by-step explanation:

To find the slope of the line, you can take two points and use the slope formula.

-2 - 0 = -2, 6 - 0 = 6, -2/6 =  -1/3 which is the slope.

You would usually need to find b in y = mx + b but here you don't need b due to their being no y-intercept.

So just substitute -1/3 into y = mx + b

4 0
3 years ago
What is the answer to : -4/22t-5/22t=<br><br> Thanks in Advanced!
grigory [225]

Answer:

- 4/22t - 5/22t =

- 4 - 5 = -9

- 9/22t is the answer

it is basically subtracting the numerators because the denominators are the same.

6 0
3 years ago
Simplify 6z^-7 (2) x² (4) ^4x^-4​
Mademuasel [1]

Answer:

3

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Find the domain and range of the function. Check all that apply.
dolphi86 [110]
The answer is below

Hope this help you

Have A great Day

6 0
3 years ago
Other questions:
  • What is the slope of the line that passes through (-6,1) and (2,5)?
    8·2 answers
  • At president Bush's inauguration in 2005,the newspaper headlines stated there were about 400,00 people in attendance. if the new
    15·2 answers
  • A company sends a total of $64,500,000 on salaries for it's workers. If the company 1.5×10 to the 3rd power workers, what is the
    14·1 answer
  • A college student realized that he was spending too much money on music. For the remaining 5 months of the year his goal is to s
    12·1 answer
  • How do u write 4 1/4 in simplest form and not in decimals I haven't learned that yet .
    10·2 answers
  • What is 4,000/80 show your work
    9·1 answer
  • MULTIPLY<br><br><br><br><img src="https://tex.z-dn.net/?f=%5Cfrac%7B9a%5E%7B2%7D%20%7D%7Ba%5E%7B2%7D%20%2B6a%2B9%7D%20%2A%5Cfrac
    10·2 answers
  • Dorothy opens a savings account with $80 that earns 8.5% interest
    13·1 answer
  • The graph of a proportional relationship is given along with an equation for a
    7·1 answer
  • Elk middle school has 264 students. There are 84 students in the eighth grade. There are 22 fewer seventh-grade students than si
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!