# MA1310: Module 4 Applications Of Trigonometry Exercise 4.2 Polar Coordinates and Complex Numbers 1 Answer the following questions to complete this exercise

MA1310: Module 4 Applications Of Trigonometry Exercise 4.2 Polar Coordinates and Complex Numbers 1 Answer the following questions to complete this exercise: 1. Explain why r, and r , 180 represent the same points in polar coordinates. 2. Match the point 4 2 , in polar coordinates with A, B, C, or D on the graph. 3. Find the rectangular coordinates of the polar point 5 5 2 , . 4. Find the polar coordinates of the rectangular point (–4, –4). 5. Plot the complex number z i 4 3 4 and select the correct graph from the given graphs: a. b. MA1310: Module 4 Applications Of Trigonometry Exercise 4.2 Polar Coordinates and Complex Numbers 2 c. d. 6. Find the absolute value of the complex number z = 2 + 5i. 7. Write the complex number z = 2 – 2i in polar form. Express in degrees. 8. Write the complex number 3 3 6 cos sin 2 2 i in rectangular form. 9. Use DeMoivre’s Theorem to find the indicated power of the complex number. Write the answer in rectangular form. 5 1 cos sin 4 10 10 i Submission Requirements: Submit your response in a Microsoft Word document of the following specifications: Font: Arial; Point 12 Spacing: Double MA1310: Module 4 Applications Of Trigonometry Exercise 4.2 Polar Coordinates and Complex Numbers 3 Evaluation Criteria: Did you show the steps to solve each problem? Did you write thorough explanations for the short-answer questions? Did you accurately choose a problem that fits the criteria for each rule? Were the answers submitted in an organized fashion that was legible and easy to follow? Were the answers correct? Did you show the appropriate steps to solve the given problems