Plot the complex number on the complex plane and write it in polar form and in exponential form. AImaginary axis 16 3-6i 12- Plot the complex number on the complex plane. Real Write the complex number 3- 6 i in polar form. Select the correct choice below 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.) O A. z= (cos + i cos) B. z= 3/5 (cos 5.176 + i sin 5.176) O C. z= (sin + i cos D. Z= (sin + i sin Write the complex number 3- 6 i in exponential form. z= 35 ei5.176 (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 2r.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.5: Trigonometric Form For Complex Numbers
Problem 76E
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Plot the complex number on the complex plane and write it in polar form and in
exponential form.
AImaginary axis
16
3-6i
...
Plot the complex number on the complex plane.
Real axis
Write the complex number 3- 6 i in polar form. Select the correct choice below 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.)
16
O A. z=
+ i cos
Cos
B. z= 3/5 (cos 5.176 + i sin 5.176)
O C. z=
(sin
+ i cos
O D. z=
(sin
+ i sin
Write the complex number 3- 6 i in exponential form.
z = 3/5 ei5.176
(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 2r.)
Transcribed Image Text:Plot the complex number on the complex plane and write it in polar form and in exponential form. AImaginary axis 16 3-6i ... Plot the complex number on the complex plane. Real axis Write the complex number 3- 6 i in polar form. Select the correct choice below 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.) 16 O A. z= + i cos Cos B. z= 3/5 (cos 5.176 + i sin 5.176) O C. z= (sin + i cos O D. z= (sin + i sin Write the complex number 3- 6 i in exponential form. z = 3/5 ei5.176 (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 2r.)
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