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
loris [4]
3 years ago
5

Find all polar coordinates of point P where P = ordered pair 1 comma pi divided by 3.

Mathematics
2 answers:
vichka [17]3 years ago
8 0

Answer:

All the polar coordinates of point P are (1,2n\pi+\frac{\pi}{3}) and (-1,(2n+1)\pi+\frac{\pi}{3}), where n is an integer.

Step-by-step explanation:

The given point is

P=(1,\frac{\pi}{3})            .... (1)

If a point is defined as

P=(r,\theta)          .... (2)

then the polar coordinates of point P is defined as

(r,\theta)=(r,2n\pi+\theta)

(r,\theta)=(-r,(2n+1)\pi+\theta)

where, n is an integer and θ is in radian.

From (1) and (2) we get

r=1, \theta=\frac{\pi}{3}

So, the polar coordinates of point P are

(r,\theta)=(1,2n\pi+\frac{\pi}{3})

(r,\theta)=(-1,(2n+1)\pi+\frac{\pi}{3})

Therefore all the polar coordinates of point P are (1,2n\pi+\frac{\pi}{3}) and (-1,(2n+1)\pi+\frac{\pi}{3}), where n is an integer.

baherus [9]3 years ago
6 0

Answer:

  (1, π/3 +2kπ), (-1, 4π/3 +2kπ) . . . where k is any integer

Step-by-step explanation:

Adding any multiple of 2π to the angle results in the same point in polar coordinates.

Adding 180° (π radians) to the point effectively negates the magnitude. As above, adding any multiple of 2π to this representation is also the same point in polar coordinates.

There are an infinite number of ways the coordinates can be written.

You might be interested in
Answer this, i need help
Mashcka [7]

Answer:

The answer is 40/1 dollars person; the cost is 40$ per person.

5 0
3 years ago
Read 2 more answers
George walked around the entire perimeter of his rectangular garden. The length of his garden was 12 yards and the width was 8 y
Marina86 [1]
To find perimeter, you use this equation for a parallelogram:
2l+2w=p
Let’s not put the numbers in,
2(12)+2(8)
24+16
40
So b, 40 yards is how much he walked.

















To
8 0
3 years ago
26. 4x + 6/2 = 3x +15/3
Arturiano [62]

Answer:

x=2

Step-by-step explanation:

Hope it helps you!

4 0
3 years ago
Which angles equal 91°? angles T and V angles S and U angles U and V angles S and T.
Ahat [919]

Answer:

Angles T and V

Step-by-step explanation:

5 0
2 years ago
Problem 5.) Andre paid $13 for 3 books. Diego bought 12 books priced at the same rate. How much did Diego pay for the 12 books?
balandron [24]

Answer:

$52

Step-by-step explanation:

3 books → $13

1 book → $13/3

12 books → $13/3 x 12 = $52

6 0
2 years ago
Other questions:
  • Number 3 Show me how you got it
    9·1 answer
  • 60/1 in a equivalent ratio
    6·2 answers
  • How can I find the volume of a prism
    7·1 answer
  • Can someone please explain how to do this to me
    5·1 answer
  • For the function given​ below, find a formula for the Riemann sum obtained by dividing the interval​ [a,b] into n equal subinter
    13·1 answer
  • What shape is this? I’m so confused and I need to get this done really quickly!
    5·1 answer
  • Please help fast its due in 30 minutes
    5·2 answers
  • HELP THIS IS DUE AT 1:30
    12·1 answer
  • Find the value of x round to the nearest 10th<br><br> I will give brainliest
    7·1 answer
  • Galileo quería soltar una bola de madera y una bola de hierro desde una altura de 100 metros y medir el tiempo que tardan en cae
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!