91Ó°ÊÓ

Sketch the graph of each equation by making a table using values of \(\theta\) that are multiples of \(45^{\circ}\).\(r=6 \cos \theta\)

Multiply. Leave all answers in trigonometric form. $$ 5\left(\cos 15^{\circ}+i \sin 15^{\circ}\right) \cdot 2\left(\cos 25^{\circ}+i \sin 25^{\circ}\right) $$

Multiply. Leave all answers in trigonometric form. $$ 3\left(\cos 20^{\circ}+i \sin 20^{\circ}\right) \cdot 4\left(\cos 195^{\circ}+i \sin 195^{\circ}\right) $$

Find the two square roots for each of the following complex numbers. Leave your answers in trigonometric form. In each case, graph the two roots. $$ 16\left(\cos 30^{\circ}+i \sin 30^{\circ}\right) $$

Sketch the graph of each equation by making a table using values of \(\theta\) that are multiples of \(45^{\circ}\).\(r=4 \sin \theta\)

Multiply. Leave all answers in trigonometric form. $$ 9\left(\cos 115^{\circ}+i \sin 115^{\circ}\right) \cdot 4\left(\cos 51^{\circ}+i \sin 51^{\circ}\right) $$

Two complex numbers are equal if and only if their ______ parts are equal and their ________ parts are equal.

Find the two square roots for each of the following complex numbers. Leave your answers in trigonometric form. In each case, graph the two roots. $$ 25\left(\cos 210^{\circ}+i \sin 210^{\circ}\right) $$

Sketch the graph of each equation by making a table using values of \(\theta\) that are multiples of \(45^{\circ}\).\(r=\sin 2 \theta\)

Sketch the graph of each equation by making a table using values of \(\theta\) that are multiples of \(45^{\circ}\).\(r=\cos 2 \theta\)