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# 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

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