Polar Coordinates and Complex Numbers Quiz

What does the 'r' in polar coordinates represent?

• The distance from the pole

• The distance from the polar axis

• The angle in degrees

• The angle in radians

Tags

CCSS.HSN.CN.B.4

How is the direction in polar coordinates specified?

• Using the variable 'Theta'

• Using the variable 'r'

• Using the Y-axis

• Using the X-axis

Tags

CCSS.HSN.CN.B.4

Which quadrant would a point with a negative 'r' and a positive 'Theta' be located in polar coordinates?

• Quadrant I

• Quadrant IV

• Quadrant II

• Quadrant III

Tags

CCSS.HSN.CN.B.4

What formula is used to find the X coordinate when converting from polar to rectangular coordinates?

• r sin(Theta)

• r cos(Theta)

• Theta / r

• r^2 + Theta^2

Tags

CCSS.HSN.CN.B.4

What is the formula for finding the Y coordinate in rectangular coordinates from polar coordinates?

• Theta / r

• r sin(Theta)

• r cos(Theta)

• r^2 - Theta^2

Tags

CCSS.HSN.CN.B.4

When converting rectangular coordinates back to polar, what formula represents the radius 'r'?

• tan(Theta)

• sqrt(X^2 + Y^2)

• X^2 - Y^2

• cos(Theta) + sin(Theta)

Tags

CCSS.HSN.CN.B.4

How do you find the angle 'Theta' when converting from rectangular to polar coordinates?

• X^2 + Y^2

• tan^-1(Y / X)

• sin^-1(Y / r)

• cos^-1(X / r)

Tags

CCSS.HSN.CN.B.4

What is the absolute value of a complex number in polar form equivalent to?

• The angle 'Theta'

• The radius 'r'

• The real part

• The imaginary part

In complex polar form, what does the 'i' represent?

• The radius

• The imaginary part

• The real part

• The angle

Tags

CCSS.HSN.CN.B.4

When converting a complex number from rectangular to polar form, what mathematical operation is used to find 'r'?

• Addition

• Square root

• Subtraction

• Multiplication

Tags

CCSS.HSN.CN.B.4