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
Irina-Kira [14]
4 years ago
10

Convert the equation r = 12 sin theta to Cartesian coordinates. Describe the resulting curve.

Mathematics
1 answer:
VLD [36.1K]4 years ago
7 0

Answer:

Step-by-step explanation:

Given that there is a polar equation as

r=12 sin \theta

This has to be converted into cartesian.

We know the conversion is

r^2 =x^2+y^2 \\tan \theta = \frac{y}{x}

Using this we can say that

sin^2 \theta = 1-cos^2 \theta \\= 1-\frac{1}{sec^2 \theta} \\=1-\frac{1}{1+tan^2 \theta} \\=1-\frac{1}{1+\frac{y^2}{x^2} } \\=1-\frac{x^2}{x^2+y^2} \\=\frac{y^2}{y^2+y^2}

\sqrt{x^2+y^2} =12(\frac{y}{\sqrt{x^2+y^2} } \\x^2+y^2 =12y\\x^2+y^2-12y+36 = 36\\x^2+(y-6)^2 = 6^2}

Circle with centre (0,6) and radius 6.

You might be interested in
140 is decreased to 273
Anettt [7]

Is there more to the question,

3 0
4 years ago
5(2x + 6) = 8x + 48 <br><br> simplify.
lord [1]

10x+30=8x+48

2x+30=48

2x=18

x=9

3 0
4 years ago
Read 2 more answers
Only answer if you are 100% sure about the answer.
hram777 [196]

Answer:

180

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Help asap<br> show work<br> I will mark u brainllest
Anastaziya [24]
10. slope intercept form : y = mx+b

we can see that the line hits the y-axis at +1
and that the line inclines one up one

so it would be y = x + 1



5 0
3 years ago
Read 2 more answers
Can anyone help me?
frozen [14]
       2x + x - 1               x
   =  ------------------ * ---------
          x(x - 1)               8

       3x - 1
=  --------------
       8x - 8
6 0
3 years ago
Other questions:
  • How to solve this problem
    12·1 answer
  • What transformation of the parent function f(x) is made to get 4f(x + 2)?
    15·1 answer
  • (This is on my quaturly check Help!!!) ABC and CBD are supplementary angles. m/ABC=(5x+12) and m/CBD=(13x+24).Complete all the p
    7·1 answer
  • What value of x will make the equation below true? −x=4
    9·1 answer
  • Sam earned $380 working for 8 hours.<br> How much does Sam earn per hour? $<br> per hour
    12·2 answers
  • Give an example of an equation with an infinite number of solutions. Then make one change to the equation so that it has no solu
    12·2 answers
  • Solve for x solve for x solve for x solve for x solve for x
    5·2 answers
  • What type of photography is most likely to be seen on websites and in advertising?
    6·2 answers
  • Write the expression as a power
    11·1 answer
  • Mathmathmathplshelp its urgent
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!