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1. Express in polar form, z =-4 + j2.

1. Express in polar form, z =-4 + j2.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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4:03 O 43% 令 Exercises 3... > Exercises 3 1. Express in polar form, z =-4 + j2. 2. Express in true polar form, z = 5(cos 55° -j sin 55°) 3. Simplify the following, giving the results in polar form (i) 3(cos 143° +j sin 143°) X 4(cos 57° +j sin 57°) 10(cos 126° + j sin 126°) (ii) 2(cos 72° +j sin 72°) 4. Express in the form a + jb, (i) 2(cos 30° + j sin 30°) (ii) 5(cos 57° -j sin 57°) 5. If z = 2(cos 25° +j sin 25°), find z' in polar form. Find the three cube roots of 8(cos 264° + j sin 264°) and state which of them is the principal cube root. Show all three roots on an Argand diagram. 6.
Transcribed Image Text:4:03 O 43% 令 Exercises 3... > Exercises 3 1. Express in polar form, z =-4 + j2. 2. Express in true polar form, z = 5(cos 55° -j sin 55°) 3. Simplify the following, giving the results in polar form (i) 3(cos 143° +j sin 143°) X 4(cos 57° +j sin 57°) 10(cos 126° + j sin 126°) (ii) 2(cos 72° +j sin 72°) 4. Express in the form a + jb, (i) 2(cos 30° + j sin 30°) (ii) 5(cos 57° -j sin 57°) 5. If z = 2(cos 25° +j sin 25°), find z' in polar form. Find the three cube roots of 8(cos 264° + j sin 264°) and state which of them is the principal cube root. Show all three roots on an Argand diagram. 6.
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