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
Gennadij [26K]
2 years ago
14

Given that cos θ = –12∕13 and θ is in quadrant III, find csc θ.

Mathematics
2 answers:
Zanzabum2 years ago
8 0

Answer:

A

Step-by-step explanation:

I took the quiz!

Trava [24]2 years ago
7 0

Answer:

A

Step-by-step explanation:

We are given:

\displaystyle \cos(\theta)=-\frac{12}{13},\,\theta\in\text{QIII}

Since cosine is the ratio of the adjacent side over the hypotenuse, this means that the opposite side is (we can ignore negatives for now):

o=\sqrt{13^2-12^2}=\sqrt{25}=5

So, the opposite side is 5, the adjacent side is 12, and the hypotenuse is 13.

And since θ is in QIII, sine/cosecant is negative, cosine/secant is negative, and tangent/cotangent is positive.

Cosecant is given by the hypotenuse over the opposite side. Thus:

\displaystyle \csc(\theta)=\frac{13}{5}

Since θ is in QIII, cosecant must be negative:

\displaystyle \csc(\theta)=-\frac{13}{5}

Our answer is A.

You might be interested in
5x + 7 < -3 or 3x - 4 > 11
rodikova [14]

Answer:

x < -2; x > 5          

Step-by-step explanation:

5x + 7 < - 3                  3x - 4 > 11

     -7     -7                         +4   +4

    5x < - 10                        3x > 15

    / 5     /5                          /3     /3

      x < -2                             x > 5            

7 0
3 years ago
Find the height of a prism if the base is a right triangle with legs 3 inches and 5 inches, and the volume of the prism is 150 c
AnnyKZ [126]

Answer:

the height is 20 inches

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Hello mee bbbnbhbbnfnskqpoebdvdvdahanxbx
Serhud [2]

Answer:

Hello how are you lol

Step-by-step explanation:

5 0
2 years ago
Help me fasttt plsssssssssssss
harina [27]
32 is the answer  I know this really well 
5 0
3 years ago
The Width Of A Rectangle is The Sum Of The length and 3. The Area Of The Rectangle Is A 54 units. What is the length, in units o
saveliy_v [14]

The length of the rectangle is 6 units.

3 0
3 years ago
Other questions:
  • George writes 1/5 of a page every 1/4 of an hour. How many pages does he write in one hour?
    8·2 answers
  • Find the square root of the following number correct up to three decimal places a 11 b 6.3 c4.2d124​
    10·1 answer
  • A taste test asks people from Texas and California which pasta they preferred brand a or brand b this table shows the results. A
    7·2 answers
  • Triangle MNO is an equilateral triangle with sides measuring 16 square root of 3 units.
    9·2 answers
  • The Information Technology Department at a large university wishes to estimate the proportion of students living in the dormitor
    15·1 answer
  • The floor area of a hall is 1044 m2. The length is 36 m. Give a quick estimate of width of the hall. ?
    15·1 answer
  • PLEASE HELP ASAP ILL GIVE BRAINLIST TO THE CORRECT ANSWER!!
    13·1 answer
  • If ΔΡQR
    9·1 answer
  • UDISJKDFJSFJDGLFS HELP
    14·2 answers
  • If a=2, b=3 and c=4 then find the numerical value of a2+2abc+b2+c2<br>​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!