A point in polar coordinates is given as $(-17,-45°)$. What are its rectangular coordinates?

Transform the given rectangular equation $x^2+\left(y+8\right)^2=25$ into a polar equation expressing $r$ in terms of $θ$.

Graph the polar equation $r=5+5\cos\theta$ and identify the type of graph it produces.

Given the parametric equations $x=4\cos(t)-4$ and $y=4\sin(t)+4$ for $t$ $\in$ $[0, 2π]$, graph the corresponding curve. What is the rectangular equation of this curve?

Write the corresponding rectangular equation for the following parametric equation by eliminating $t$. Draw a graph of the plane curve using the rectangular equation. Indicate the direction of the curve that is obtained by using arrows that correspond to the increasing values of $t$.

$x=4\csc t,y=2\cot t$

Determine the set of parametric equations for the hyperbola with vertices at $(5, 0)$ and $(-5, 0)$, and foci at $(8, 0)$ and $(-8, 0)$.

Perform the indicated operations on the following complex numbers and express the answer in standard form.

(4 - 3i)(- 5 - 7i)

Plot the given complex number on a graph. Express the complex number in the polar form.

-12 + 5i

Divide the following complex numbers (z₁/z₂) and express the final answer in polar form. Ensure that for the final answer, 0° ≤ θ ≤ 360°.

z₁ = cos 65° + i sin 65°

z₂ = cos 315° + i sin 315°

Determine all the complex roots for the given complex number. Express the complex roots in the polar form using angles in degrees.

The complex square roots of 36(cos 60° + i sin 60°)