Polar to rectangluar

Front

Convert from polar coordinates (20, 11π/6) to rectangular coordinates.

Back

(10√3, -10)

Front

Convert from polar coordinates (5, 50°) to rectangular coordinates.

Back

(3.2, 3.8)

Front

Convert from polar coordinates (6, 5π/4) to rectangular coordinates.

Back

(-3√2, -3√2)

Front

Convert the rectangular coordinates (6√3, 6) to polar coordinates.

Back

(12, π/6)

Front

Convert the rectangular coordinates (-5√2, 5√2) to polar coordinates.

Back

(10, 3π/4)

Front

What is the formula to convert polar coordinates (r, θ) to rectangular coordinates (x, y)?

Back

x = r * cos(θ), y = r * sin(θ)

Front

What is the formula to convert rectangular coordinates (x, y) to polar coordinates (r, θ)?

Back

r = √(x² + y²), θ = atan2(y, x) (where atan2 is the two-argument arctangent function)

Front

What is the value of r for the polar coordinate (0, θ)?

Back

r = 0, regardless of θ.

Front

What is the angle θ in radians for the polar coordinate (1, π/2)?

Back

θ = π/2 radians (90 degrees) corresponds to the positive y-axis.

Front

If a point in polar coordinates is (r, θ), what does a negative r value indicate?

Back

A negative r value indicates the point is in the opposite direction of the angle θ.