Plot the complex number on the complex plane and write it in polar form and in exponential form. AImaginary axis 12- - 8 +9 i 10– Plot the complex number on the complex plane. Real axis Write the complex number -8 +9 i in polar form. Select the correct choice below 40 12 and fill in the answer box(es) within your choice. (Simplify your answer. Type an exact answer for r, using radicals as needed. Type any angle measures in radians, rounding to three decimal places as needed. Use angle measures greater than or equal to 0 and less than 2n.) -121-10 -8 -4 to O A. z= V145 (cos 2.297 + i sin 2.297 40 (sin + i sin) 42 B. Z= C. Z= cos + i cos O D. z= (sin + i cos) Write the complex number - 8+ 9 i in exponential form. i2.297 z= /145 e (Simplify your answer. Type an exact answer for r, using radicals as needed. Type any angle measures in radians, rounding to three decimal places as needed. Use angle measures greater than or equal to 0 and less than 2n.)
Plot the complex number on the complex plane and write it in polar form and in exponential form. AImaginary axis 12- - 8 +9 i 10– Plot the complex number on the complex plane. Real axis Write the complex number -8 +9 i in polar form. Select the correct choice below 40 12 and fill in the answer box(es) within your choice. (Simplify your answer. Type an exact answer for r, using radicals as needed. Type any angle measures in radians, rounding to three decimal places as needed. Use angle measures greater than or equal to 0 and less than 2n.) -121-10 -8 -4 to O A. z= V145 (cos 2.297 + i sin 2.297 40 (sin + i sin) 42 B. Z= C. Z= cos + i cos O D. z= (sin + i cos) Write the complex number - 8+ 9 i in exponential form. i2.297 z= /145 e (Simplify your answer. Type an exact answer for r, using radicals as needed. Type any angle measures in radians, rounding to three decimal places as needed. Use angle measures greater than or equal to 0 and less than 2n.)
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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Answers are attached, I'm confused about part B. Cos x/r = -8/radical 145 and Sin y/r = 9/radical 145, but they don't produce the same answers? Both answers are between 0 to 2pi. You can also use tan y/x = 9/-8 right?

Transcribed Image Text:Plot the complex number on the complex plane and write it in polar form and in
exponential form.
AImaginary axis
12-
- 8+9 i
40-
8-
Plot the complex number on the complex plane.
Real axis
Write the complex number - 8 + 9 i in polar form. Select the correct choice below
-12-10
40 12
and fill in the answer box(es) within your choice.
(Simplify your answer. Type an exact answer for r, using radicals as needed. Type
any angle measures in radians, rounding to three decimal places as needed. Use
angle measures greater than or equal to 0 and less than 2n.)
8-
A. z= /145 (cos 2.297 + i sin 2.297
40-
B. Z=
(sin
+ i sin
O C. z=
+ i cos
cos
D. z=
(sin
+ i cos
Write the complex number - 8 + 9 i in exponential form.
i 2.297
z= /145 e
(Simplify your answer. Type an exact answer for r, using radicals as needed. Type
any angle measures in radians, rounding to three decimal places as needed. Use
angle measures greater than or equal to 0 and less than 2n.)
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