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Polar and rectangular

Total questions: 10

Worksheet time: 8mins

Name
Class
Date
1.
Find the polar coordinates of the rectangular point. (0,3)
a)
(3,π)
b)
(3,0)
c)
(3,π/2)
d)
(3,-3π/2)
2.

How do you write an ordered pair in polar coordinates?

a)

(X, Y)

b)

(θ, r)

c)

(r,θ)

d)

(Y_Y)

3.
Convert the polar coordinates to rectangular form
a)
( -3, 3)
b)
(3, 3√3)
c)
(-3, 3√3)
d)
(3, -3√3)
4.

What is the radius to the following rectangular point:

(5, 2)

a)

5

b)

2

c)

√29

d)

√27

5.

Converting between rectangular and polar coordinates:

x = ?

a)

rcosθ

b)

rsinθ

c)

x² + y²

d)

y/x, x ≠ 0

6.

Converting between rectangular and polar coordinates:

r² = ?

a)

rcosθ

b)

rsinθ

c)

x² + y²

d)

y/x, x ≠ 0

7.

Which of the following is the polar equivalence to (x + 3)² + (y - 4)²= 25

a)

(-3, 4) r = 5

b)

r = 8sinθ - 6cosθ

c)

r = 8sinθ + 6cosθ

d)

r = -8sinθ + 6 cosθ

8.

What is the rectangular equivalence of r = 2tanθsecθ?

a)

y = ½x²

b)

y = x²

c)

y = ¾x²

d)

y = ⅓x²

9.
Convert the rectangular equation to a polar equation. 
x2+y2=25
a)
r=5
b)
r=5sinΘ
c)
r=5cscΘ
d)
r=25
10.
Convert the rectangular equation to a polar equation. 
3x2+3y2-48=0
a)
r=4
b)
r=48secΘ
c)
r=48cscΘ
d)
r=√48