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 = ?

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Similar Resources on Wayground

Popular Resources on Wayground

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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

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

When converting between rectangular and polar coordinates:
y = ?