Three of the following coordinates represent the same point. Which one represents a DIFFERENT point from the others?

( − 4 , 5 π 3 ) \left(-4,\frac{5\pi}{3}\right) ( − 4 , 3 5 π )

( 4 , π 3 ) \left(4,\frac{\pi}{3}\right) ( 4 , 3 π )

( 4 , − 5 π 3 ) \left(4,-\frac{5\pi}{3}\right) ( 4 , − 3 5 π )

( − 4 , − 2 π 3 ) \left(-4,-\frac{2\pi}{3}\right) ( − 4 , − 3 2 π )

Convert from rectangular coordinates to polar coordinates: ( − 2 , 7 ) \left(-2,7\right) ( − 2 , 7 )

( 53 , 1.85 ) \left(\sqrt{53},1.85\right) ( 5 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> , 1 . 8 5 )

( 3 5 , 1.85 ) \left(3\sqrt{5},1.85\right) ( 3 5 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> , 1 . 8 5 )

( 3 5 , 4.99 ) \left(3\sqrt{5},4.99\right) ( 3 5 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> , 4 . 9 9 )

( 53 , − 1.29 ) \left(\sqrt{53},-1.29\right) ( 5 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> , − 1 . 2 9 )

Convert to a polar equation 3 x + 7 y = 9 3x+7y=9 3 x + 7 y = 9

r = 9 3 cos ⁡ θ + 7 sin ⁡ θ r=\frac{9}{3\cos\theta+7\sin\theta} r = 3 cos θ + 7 sin θ 9

r = 9 cos ⁡ 3 θ + sin ⁡ 7 θ r=\frac{9}{\cos3\theta+\sin7\theta} r = cos 3 θ + sin 7 θ 9

r = 9 7 cos ⁡ θ + 3 sin ⁡ θ r=\frac{9}{7\cos\theta+3\sin\theta} r = 7 cos θ + 3 sin θ 9

r = 9 7 cos ⁡ 3 θ + 3 sin ⁡ 7 θ r=\frac{9}{7\cos3\theta+3\sin7\theta} r = 7 cos 3 θ + 3 sin 7 θ 9

Polar Coordinates Knowledge Check

Quiz

•

Practice Problem

•

Hard

Lindsay Stone

FREE Resource

27 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Convert the polar coordinates to rectangular form

( -3, 3)

(3, 3√3)

(-3, 3√3)

(3, -3√3)

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Find the rectangular coordinates of each polar point. (4, 3π/2)

(4,4)

(4,0)

(0,-4)

(0,1)

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Convert from polar coordinates, (6, 5π/4) to rectangular coordinates.

(-3√2, -3√2)

(3√2, 3√2)

(6.0, 0.4)

(-6.0, -0.4)

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Convert from polar coordinates, (20, 11π/6) to rectangular coordinates.

(-10√3, 10)

(10√3, -10)

(10, -10√3)

(10√2, -10)

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Convert the polar coordinates to rectangular coordinates.

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Find polar coordinates for the point:
(√3 , 1)

(2, π/6)

(-2, -π/6)

(1,0)

(4π,-2)

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Convert from rectangular to polar coordinates. (-4, 4)

(4√2, π/4)

(4√2, 3π/4)

(4√2, -π/4)

(-4√2, -7π/4)

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Polar Coordinates Knowledge Check

27 questions

Convert the polar coordinates to rectangular form

Find the rectangular coordinates of each polar point. (4, 3π/2)

Convert from polar coordinates, (6, 5π/4) to rectangular coordinates.

Convert from polar coordinates, (20, 11π/6) to rectangular coordinates.

Convert the polar coordinates to rectangular coordinates.

Find polar coordinates for the point:
(√3 , 1)

Convert from rectangular to polar coordinates. (-4, 4)

Which point represents (-4, π/2)

How do you write an ordered pair in polar form?

When converting between rectangular and polar coordinates:
y = ?

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for

Polar Coordinates Knowledge Check

27 questions

Convert the polar coordinates to rectangular form

Find the rectangular coordinates of each polar point. (4, 3π/2)

Convert from polar coordinates, (6, 5π/4) to rectangular coordinates.

Convert from polar coordinates, (20, 11π/6) to rectangular coordinates.

Convert the polar coordinates to rectangular coordinates.

Find polar coordinates for the point:(√3 , 1)

Convert from rectangular to polar coordinates. (-4, 4)

Which point represents (-4, π/2)

How do you write an ordered pair in polar form?

When converting between rectangular and polar coordinates:y = ?

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for

Find polar coordinates for the point:
(√3 , 1)

When converting between rectangular and polar coordinates:
y = ?