Find two square roots for the following complex number. Leave your answers in trigonometric form.25(cos 240° + i sin 240°)Wo =W1 =Graph the two roots.yyA554-4-332211X1 2 3 4 5 6-1-6 -5 -4 -3 -2 A-6 -5 -4 -3 -2 -1-15 612 34-2--2-3-3-4-4-5-5--61-6 y6.y61443321-6 -5 -4 -3 -2-6 -5 -4 -3 -2 -1-11356135-12.2.

Here, z=25(cos 240°+i sin 240°)⇒z=25ei240π180⇒z=25ei4π3

Answered: Find two square roots for the following…

Find two square roots for the following complex number. Leave your answers in trigonometric form. 25(cos 240° + i sin 240°) Graph the two roots. y 6r y A B 5 5 4

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 44E

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Question

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Find two square roots for the following complex number. Leave your answers in trigonometric form.
25(cos 240° + i sin 240°)
Wo =
W1 =
Graph the two roots.
y
y
A
5
5
4-
4-
3
3
2
2
1
1
X
1 2 3 4 5 6
-1
-6 -5 -4 -3 -2 A
-6 -5 -4 -3 -2 -1
-1
5 6
1
2 3
4
-2-
-2
-3
-3
-4
-4
-5
-5-
-61
-6

y
6.
y
61
4
4
3
3
2
1
-6 -5 -4 -3 -2
-6 -5 -4 -3 -2 -1
-1
1
3
5
6
1
3
5
-1
2.
2.

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