exercise_4.2

# exercise_4.2 - MA1310 Module 4 Applications Of Trigonometry...

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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: 1. Explain why r , and 180 r , 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 4 3 4 z i   and select the correct graph from the given graphs: a. b.

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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 + 5 i . 7. Write the complex number z = 2 2 i in polar form. Express in degrees. 8. Write the complex number 3 3 6 cos sin 2 2 i
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