Parametrics and Polar Equations

Front

What is the rectangular form of the parametric equations x = 2t and y = t² + 3?

Back

y = ¼ x² + 3

Front

How do you calculate the horizontal distance traveled by a projectile?

Back

Horizontal distance = initial speed * cos(angle) * time

Front

Convert the polar coordinates (6, 2π/3) to rectangular form.

Back

(-3, 3√3)

Tags

CCSS.HSN.CN.B.4

Front

What is the polar form of the Cartesian equation x² + y² = 9?

Back

r = 3

Tags

CCSS.HSN.CN.B.4

Front

How do you find the angle in polar coordinates from rectangular coordinates?

Back

θ = arctan(y/x)

Tags

CCSS.HSN.CN.B.4

Front

What is the relationship between parametric equations and their rectangular form?

Back

Parametric equations can be eliminated to find a single rectangular equation.

Front

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

Back

x = r * cos(θ), y = r * sin(θ)

Tags

CCSS.HSN.CN.B.4

Front

How do you convert the equation y = 2x + 1 to polar form?

Back

r sin(θ) = 2r cos(θ) + 1

Tags

CCSS.HSN.CN.B.4

Front

What does the point (3, 3π/4) represent in polar coordinates?

Back

It represents a point in the second quadrant.

Tags

CCSS.HSN.CN.B.4

Front

What is the significance of the angle in polar coordinates?

Back

It determines the direction of the point from the origin.

Tags

CCSS.HSN.CN.B.4