Polar Coordinates

Front

What are polar coordinates?

Back

Polar coordinates are a two-dimensional coordinate system where each point is determined by a distance from a reference point (the origin) and an angle from a reference direction (usually the positive x-axis).

Tags

CCSS.HSN.CN.B.4

Front

How do you convert Cartesian coordinates (x, y) to polar coordinates (r, θ)?

Back

Tags

CCSS.HSN.CN.B.4

Front

What is the absolute value of a complex number?

Back

Front

What quadrant does the point (x, y) = (2, 3) lie in?

Back

The point (2, 3) lies in Quadrant 1, where both x and y are positive.

Tags

CCSS.6.NS.C.6B

Front

What is the polar coordinate representation of the point (1, 0)?

Back

The polar coordinate representation is (1, 0), where r = 1 and θ = 0.

Tags

CCSS.HSN.CN.B.4

Front

How do you multiply two complex numbers (a + bi)(c + di)?

Back

To multiply, use the distributive property: (a + bi)(c + di) = ac + adi + bci + bdi^2, and remember that i^2 = -1.

Tags

CCSS.HSN.CN.A.2

Front

What is the polar coordinate of the point (√3, 1)?

Back

Tags

CCSS.HSN.CN.B.4

Front

What is the angle θ in polar coordinates when the point is in Quadrant 2?

Back

Tags

CCSS.HSN.CN.B.4

Front

What is the relationship between polar coordinates and complex numbers?

Back

Polar coordinates can represent complex numbers as r(cos θ + i sin θ), where r is the modulus and θ is the argument.

Tags

CCSS.HSN.CN.B.4

Front

How do you find the angle θ for the point (-4, 3) in polar coordinates?

Back

Tags

CCSS.HSN.CN.B.4