Find the absolute value of the following complex number

Question

Problem:

Trigonometry

1. Find the absolute value of the following complex number:

                        a. z = 2 + 5i

2. Choose the rectangular coordinates for the following polar coordinate:

                        a. (-6, 3∏/2)

3. Determine the rectangular form of the complex number:

                        z = 8(cos ∏/2 = i sin ∏/2)

4. Find the polar form of the following complex number:

                        a. z = 7 ( cos 3∏/2 + i sin 3∏/2)

5. When plotted on the rectangular coordinate system in which quadrant would the following point be located for this polar coordinate?

                        a. (-2, 2∏/3)

                        b. (-3, ∏/4)

6. Find the power of the following complex number:

                        z = ( √2 - i)⁴

7. Find the value of the given complex number:

                        i⁵

8. Choose the polar coordinates for the following rectangular coordinate

                        (-1, -√3)

9. The following polar coordinates are multiple representations of the same point, True or False?

                        (-5, 7∏/4) (-5,5∏/4)

10. Find the polar form of the following expression:

                        3√2 - 3√2i

11. Write each complex number in rectangular form. If necessary round to the nearest tenth.

                        4[ cos 5∏/6 + i sin 5∏/6]

12. Use DeMoirvre's Theorem to find the indicated power of the complex number. Write answer in rectangular form.

                        [1/2(cos ∏/10 + i sin ∏/10)]⁵