Trigonometry discussion and assignment

Some Complex Thoughts

Determine if the following are true statements and explain your reasoning.

1. Some complex numbers are irrational numbers.
2. The product (2 + i)(2 – i) cannot be a real number.
3. The imaginary number I raised to any exponent is equal to one of the following 1, -1 I or –i.

Assignment

Assignment #6

Answer each of the following questions. You must provide detailed work illustrating how you arrived at

your solution.

Submit your answers to the drop box. Your work may be attached as a Word Document or a PDF File.

1) Express the following in the standard form for a complex number

2) Express the following in the standard form for a complex number

3) Write the complex number in standard form: 

4) Using DeMoivre’s Theorem solve: z² + 100 = 0

5) Using DeMoivre’s Theorem solve: z³ - 64 = 0

6) Express the complex number z = -1 + 2i in trigonometric form.