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
If x = 2.7, 5x = ____. (Input decimals only, such as 12.7.)
lukranit [14]

Answer:

5x=13.5

Step-by-step explanation:

Well, we know that 1x=2.7. So, if we want 5x we need to multiply 2.7*5 becuase 1x=2.7, so 5x=2.7*5.

Multiply. 2.7*5=13.5

So, 5x=13.5.

Hope this helps!

5 0
3 years ago
Read 2 more answers
Find the slope-intercept form of an equation for the line that passes through (–1, 2) and is parallel to y = 2x – 3.
sammy [17]

For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

y = mx + b

Where:

m: It's the slope

b: It is the cut point with the y axis.

By definition, if two straight lines are parallel then their slopes are equal. Thus, the slope of the line sought will be m = 2.

y = 2x + b

We substitute the given point to find b:

2 = 2 (-1) + b\\2 = -2 + b\\2 + 2 = b\\b = 4

Finally the line is:

y = 2x + 4

Answer:

y = 2x + 4

7 0
3 years ago
Read 2 more answers
In art class,Kerion is coloring a pattern where half of the squares on her paper are being colored blue. Of the blue squares,1/3
kolbaska11 [484]
100% of Kerion's paper squares are:
 (100% / 100%) = 1
 Half of the squares of your paper are colored blue:
 (1) / (2) = 1/2
 Of the blue squares, 1/3 of them will also have stripes:
 (1/2) * (1/3) = 1/6
 answer
 A fraction of (1/6) squares will be blue with strips
7 0
3 years ago
Which country was the first to industrialize on the continent of Europe
maxonik [38]

britain is your answer

5 0
3 years ago
What is another name for angle 1? 1.∠JNL 2. ∠N 3. ∠MNK 4.∠NLJ
Arturiano [62]

Answer:

1. <JNL

Step-by-step explanation:

Point N is the vertex of angle 1. Therefore, we can give <1 another name by using 3 letters which includes the letter of vertex point in the middle, and two other letters of the two rays that meets at the vertex point.

Thus, JN and LN meets at point N. Therefore angle 1 can be named as:

<JNL

6 0
3 years ago
Other questions:
  • Will give 25 points for a good explanation/answer
    7·1 answer
  • What is 5 times 2 thirds
    7·1 answer
  • Sara wants to find the input value that produces the same output for the functions represented by the tables.
    13·2 answers
  • Out of 8 boys and 6 girls in a high school, a team of seven students is selected. What is the probability that three boys and fo
    7·1 answer
  • Harold made the conjecture that the sum of any two prime numbers is a composite number.
    14·1 answer
  • The graphs below are both cubic functions. The equation of the blue graph is F(x)=x^3. What is the equation of the red graph?​
    7·1 answer
  • What is the domain for the piece of the function represented by f(x) = x + 1? x &lt; –1 –1 ≤ x ≤ 1 1 ≤ x &lt; 2 x &gt; 1
    14·1 answer
  • I’ll give someone brainliest if they answer this I got them wrong unfortunately
    9·2 answers
  • A company has to buy computers and printers. Each computer, x, costs $550 and each printer, y, costs $350. If the company spends
    5·1 answer
  • What is the first step to prove that 9n - 4n is divisible by 5?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!