Find the 4th roots of the equation below. Convert the answers to rectangular form in radians. 24 = 81 (cos+ i sin 공)
Find the 4th roots of the equation below. Convert the answers to rectangular form in radians. 24 = 81 (cos+ i sin 공)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.4: Multiple-angle Formulas
Problem 16E
Related questions
Question
![Find the 4th roots of the equation below. Convert the answers to rectangular form in radians.
= 81 (cos+ i sin 픔)
la.
||
JI
9 (cos 134
24
||
C.
25п
9 (cos 257 + i sin 254)
24
||
9 cos
(c 374 + i sin 374)
24
24
1
9 COS
243 cos
243
49π
24
b
COS
243 cos
Od
+ i sin
243 cos
+ i sin
13п
24
2+ i sin
32π
3
49п
24
8 + i sin
87
128T
3
2πT
3
8TT
+ i sin
32π
3
+ i sin
128T
3
b.
= 3
||
||
-
3 (cos
d.
3 cos
3
πT
COS + i sin
24
(cos
COS
: 3 cos
81
37T
24
13п
24
25T
24
COS
81 cos
81 (cos
8T
3
+ i sin
+ i sin
+ i sin
2п
1 (cos ² + i sin ²)
24
+ i sin
128π
3
13п
24
25T)
24
371)
24
32π
32T + i sin
3
8TT
3
32π
3
+ i sin
in 128T)
3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbedd5747-9476-45b7-ab2c-0211874b0421%2F888b1617-a1df-44e6-9e9e-344f257c273a%2Fuv7hipu_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Find the 4th roots of the equation below. Convert the answers to rectangular form in radians.
= 81 (cos+ i sin 픔)
la.
||
JI
9 (cos 134
24
||
C.
25п
9 (cos 257 + i sin 254)
24
||
9 cos
(c 374 + i sin 374)
24
24
1
9 COS
243 cos
243
49π
24
b
COS
243 cos
Od
+ i sin
243 cos
+ i sin
13п
24
2+ i sin
32π
3
49п
24
8 + i sin
87
128T
3
2πT
3
8TT
+ i sin
32π
3
+ i sin
128T
3
b.
= 3
||
||
-
3 (cos
d.
3 cos
3
πT
COS + i sin
24
(cos
COS
: 3 cos
81
37T
24
13п
24
25T
24
COS
81 cos
81 (cos
8T
3
+ i sin
+ i sin
+ i sin
2п
1 (cos ² + i sin ²)
24
+ i sin
128π
3
13п
24
25T)
24
371)
24
32π
32T + i sin
3
8TT
3
32π
3
+ i sin
in 128T)
3
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