91Ó°ÊÓ

Find the indicated roots in the form \(a+\) bi. Check by graphing the roots in the complex plane. The fourth roots of 16 .

Graph the following pairs of parametric equations with the aid of a graphing calculator. These are uncommon curves that would be difficult to describe in rectangular or polar coordinates. $$x=t-\sin t, y=-1+\cos t \text { (inverted cycloid) }$$

Use De Moivre's theorem to simplify each expression. Write the answer in the form \(a+\) bi. $$ (1-i \sqrt{3})^{4} $$

Convert the rectangular coordinates of each point to polar coordinates. Use degrees for \(\theta\). $$ (-2,2 \sqrt{3}) $$

Graph the following pairs of parametric equations with the aid of a graphing calculator. These are uncommon curves that would be difficult to describe in rectangular or polar coordinates. $$x=4 \cos t-\cos 4 t, y=4 \sin t-\sin 4 t \text { (epicycloid) }$$

Perform the indicated operations and write your answers in the form \(a+\) bi, where \(a\) and \(b\) are real numbers. $$ i^{-1} $$

Convert the rectangular coordinates of each point to polar coordinates. Use degrees for \(\theta\). $$ (0,2) $$

Find the indicated roots in the form \(a+\) bi. Check by graphing the roots in the complex plane. The fourth roots of -1.

Write each complex number in trigonometric form, using degree measure for the argument. \(3-6 i\)

Find the indicated roots. Express answers in the form \(a+b i\) The square roots of \(i\)