which is the parametric form of the polar equation r=-7theta

Answer 1

One possible parametric form of the polar equation r = -7θ is:

x = -7θ cos(θ)
y = -7θ sin(θ)

Here, θ is the parameter that varies as the polar angle changes, and r is the corresponding radius at each angle. By using the trigonometric functions cos and sin, we can convert the polar coordinates (r, θ) into Cartesian coordinates (x, y) that can be graphed on a rectangular plane. However, it's worth noting that this polar equation does not represent a single-valued function, as θ can have multiple values for the same radius r. Therefore, the resulting parametric curve may have loops or cusps, depending on the range of θ used.