Exploring Polar Coordinates

What is the standard form for polar coordinates?

• R, theta

• Theta, Y

• X, Y

• R, X

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CCSS.HSN.CN.B.4

How is the angle measured in polar coordinates?

• From the negative Y-axis

• From the positive Y-axis

• From the negative X-axis

• From the positive X-axis

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CCSS.HSN.CN.B.4

How do you plot a point in polar coordinates if given in degrees?

• Locate the angle and move radially outward

• Convert degrees to radians first

• Locate the radius and move angularly

• Directly plot without conversion

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CCSS.HSN.CN.B.4

What does a negative radius indicate in polar coordinates?

• None of the above

• An error in calculation

• A point at the origin

• Plotting in the opposite direction

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CCSS.HSN.CN.B.4

What is the Cartesian coordinate X equivalent in polar coordinates?

• Theta

• R cos(theta)

• R

• R sin(theta)

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CCSS.HSN.CN.B.4

What is the result of converting the polar coordinate (3, PI/2) to Cartesian coordinates?

• (-3, 0)

• (0, 3)

• (3, 0)

• (3, 3)

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CCSS.HSN.CN.B.4

What is the Cartesian Y coordinate equivalent in polar coordinates?

• R

• Theta

• R sin(theta)

• R cos(theta)

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CCSS.HSN.CN.B.4

How do you convert Cartesian coordinates to polar coordinates?

• By plotting on a Cartesian plane

• Using trigonometric functions

• Using a calculator's polar mode

• None of the above

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CCSS.HSN.CN.B.4

What formula is used to find the radius 'R' when converting from Cartesian to polar coordinates?

• R = X/Y

• R = X^2 + Y^2

• R = X + Y

• R = sqrt(X^2 + Y^2)

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CCSS.HSN.CN.B.4

In which quadrant would the polar coordinate (7, -5) be located after conversion to Cartesian?

• Quadrant II

• Quadrant III

• Quadrant I

• Quadrant IV

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CCSS.HSN.CN.B.4