Polar Coordinates and Angles

The video tutorial explains how to determine four possible ordered pairs in polar coordinates for a given point. It covers the concept of polar coordinates, where an ordered pair is represented as (R, Theta). The tutorial provides examples of ordered pairs when R is positive and when R is negative, discussing the corresponding angles in both degrees and radians. It highlights the infinite possibilities of representing points using polar coordinates and provides specific examples to illustrate the concept.

What is the format of an ordered pair in polar coordinates?

• (R, Theta)

• (X, Y)

• (A, B)

• (Theta, R)

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CCSS.HSN.CN.B.4

If R is positive, what is the distance from the pole for the given point?

• 3 units

• 2 units

• 1 unit

• 4 units

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CCSS.HSF.TF.B.7

What is a possible positive angle Theta for R = 3?

• 90 degrees

• 30 degrees

• 45 degrees

• 60 degrees

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CCSS.HSF.TF.A.2

What is a possible negative angle Theta for R = 3?

• -240 degrees

• -270 degrees

• -300 degrees

• -330 degrees

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CCSS.HSF.TF.A.1

What is the angle Theta in radians for a positive R and 30 degrees?

• Pi/4

• Pi/6

• Pi/2

• Pi/3

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CCSS.HSN.CN.B.4

What is the angle Theta in degrees for R = -3?

• 180 degrees

• 210 degrees

• 240 degrees

• 270 degrees

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CCSS.HSF.TF.A.2

What is the angle Theta in radians for R = -3 and 210 degrees?

• 5Pi/6

• Pi/6

• 11Pi/6

• 7Pi/6

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CCSS.HSF.TF.A.2

What is a possible negative angle Theta for R = -3?

• -120 degrees

• -150 degrees

• -210 degrees

• -180 degrees

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CCSS.HSN.CN.B.4

How many ways are there to list points using polar coordinates?

• Finite

• Infinite

• One

• Two

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CCSS.6.NS.C.6C

How many ordered pairs were listed in the example?

• Two

• Three

• Five

• Four

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CCSS.6.NS.C.6C