r the following. Square roots of 36(cos 90° + i sin 90°) e + 360°k Vcos 9 + 360°k +i sin (a) Use the formula zk = 0s0 < 360°.) Zo = Z1 (b) Write each of the roots in standard form. Zo = 21 =

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter8: Complex Numbers And Polarcoordinates
Section8.4: Roots Of A Complex Number
Problem 6PS
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Consider the following.
Square roots of 36(cos 90° + i sin 90°)
e + 360°k
e + 360°k
(a) Use the formula zy =
cos
+i sin
to find the indicated roots of the complex number. (Enter your answers in trigonometric form. Let
in
Os0< 360°.)
Zo =
21 =
(b) Write each of the roots in standard form.
Zn =
21 =
Transcribed Image Text:Consider the following. Square roots of 36(cos 90° + i sin 90°) e + 360°k e + 360°k (a) Use the formula zy = cos +i sin to find the indicated roots of the complex number. (Enter your answers in trigonometric form. Let in Os0< 360°.) Zo = 21 = (b) Write each of the roots in standard form. Zn = 21 =
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