1-sin theta

1
39 Views
All levels

bm42400

High School

Q6: Which is the graph of the polar equation r=1/1-sin theta.

Leave an answer

Our People Answers

1

(Based on todays review)

kudzordzifrancis

Verified answer

Answer:
The correct answer is C.
Step-by-step explanation:
The given equation is;
$r=\frac{1}{1-\sin(\theta)}$
This implies that;
$r(1-\sin(\theta)=1$
$r-r\sin(\theta)=1$
Let us write in Cartesian coordinates by substituting;
$r=\sqrt{x^2+y^2} ,y=r\sin(\theta)$
$\sqrt{x^2+y^2}-y=1$
$\sqrt{x^2+y^2}=y+1$
Square both sides;
$(\sqrt{x^2+y^2})^2=(y+1)^2$
This implies that;
$x^2+y^2=y^2+2y+1$
$x^2=2y+1$
$y=\frac{1}{2}x^2-\frac{1}{2}$
This is an equation of a parabola that opens upwards with a y-intercept of $-\frac{1}{2}$ .
The correct choice is C
- 5
- 15
- Reply
- Report

Recommend Questions

2

What is the volume of the rectangular prism. Type the answer in the boxes below

November 2022
1
Intermediate

1

Who lead the march on Washington

November 2022
3
Intermediate

1

why does obrien have winston arrested when obrien is the one who made first contact

November 2022
3
Intermediate

1

why might the unemployment rate underestimate the underutilization of labor resources the unemployment rate might underestimate the underutilization of labor resources because it does not include

November 2022
2
Intermediate

1

the diagonal of a square is 2 inches find the area of the square

November 2022
2
Intermediate

1

if sxx 7 and tx 4x23 which expression is equivalent to tsx

November 2022
2
Intermediate

1

describe the four reasons evolution occurs

November 2022
2
Intermediate

0

Geometry help please!

November 2022
3
Intermediate

2

s (D) Are completely weightless

November 2022
2
Intermediate

1

help me with the bonus box please

November 2022
5
Intermediate

TinaBearHugs123