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
SVETLANKA909090 [29]
3 years ago
10

Identify the polar coordinates for each value in the table below, discuss the shape and behavior of the graphs, and use this to

graph the equation of r=2 cos⁡〖3θ.〗
Symmetry hint: see if the equation is true for the following:
the line θ = 90°: replace (r, θ) with (r, 180° – θ) or (-r, -θ)
the polar axis: replace (r, θ) with (-r, 180° – θ) or (r, -θ)
the pole: replace (r, θ) with (r, 180° + θ) or (-r, θ)

Mathematics
1 answer:
sveta [45]3 years ago
3 0

Answer:

we know that

the relationship between the 2-dimensional polar and Cartesian coordinates is

r = √(x² + y²)

Θ = tan⁻¹ (y/x)

so

Part a) (2, −2)---------> this point belong to the IV quadrant

r = √(x² + y²)------ r = √(2² + (-2)²)-----> r=√8

Θ = tan⁻¹ (y/x)---- Θ = tan⁻¹ (2/2)----> 45°

remember that the point belong to the IV quadrant

so

Θ=360-45-----> Θ=315°

the answer part A) is 

(r,Θ)=(√8,315°)

Part b) (-1, 3)---------> this point belong to the II quadrant

r = √(x² + y²)------ r = √(-1² + (3)²)-----> r=√10

Θ = tan⁻¹ (y/x)---- Θ = tan⁻¹ (3/1)----> 71.57°

remember that the point belong to the II quadrant

so

Θ=180-71.57-----> Θ=108.43°

the answer part B) is 

(r,Θ)=(√10,108.43°)

mark me branlest plz hope it helps

You might be interested in
What is the result when the number is 72 is decreased by 44%. Round your answer to the nearest tenth?
Sonbull [250]
The answer is 164 I believe
4 0
4 years ago
What is the area of the triangle plz help
JulsSmile [24]
3x4x1/2= 6inches Multiply the base by the height and after multiply by one half
3 0
3 years ago
Read 2 more answers
1.
belka [17]

1. D

2. D

I don't know the answer to number 3 sorry.

8 0
4 years ago
Read 2 more answers
Find x. <br>○6.2<br>○7.8<br>○8.2<br>○4.2​
Alex Ar [27]

Answer:

the answer is 4.2 .................

8 0
3 years ago
1) 4x - 5y = -22<br> -2x + 5y = 26
taurus [48]
Point form:
(2,6)

Equation form:
X=2, y=6
7 0
3 years ago
Read 2 more answers
Other questions:
  • What multiplies to 24 and adds to negative 11?
    15·1 answer
  • High concentrations of carbon monoxide CO can cause coma and possible death. The time required for a person to reach a COHb leve
    8·1 answer
  • I need help with this question?????
    6·1 answer
  • An $80.00 coat is marked down 20%. It does not sell, so the shop owner marks it down an additional 15%. What is the new price of
    7·1 answer
  • (b) If Jordan is 7 years old, how old is Kim? Show your work. Make sure to write your answer in the form of a sentence.
    13·1 answer
  • Find the amplitude and period FAST
    7·1 answer
  • Which expression correctly represents "eight times the difference of four and a number"?
    10·1 answer
  • 1 - 3x = 3x + 1 solve for x
    12·2 answers
  • Write the function that models the relationship. z varies directly with x and inversely with y, and z = 10 when x = 5, y = 2
    5·2 answers
  • Evaluate the sum from n equals four to ten of quantity five n plus two.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!