now that a) S' = {z = a + bi E C|a, b € R, |2| = a² + b² = 1} is a subgroup of C*. (C cos A sin A 1
now that a) S' = {z = a + bi E C|a, b € R, |2| = a² + b² = 1} is a subgroup of C*. (C cos A sin A 1
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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Question
answer letter a
![2. Show that
(a) S' = {z = a + bi e C|a,b E R, |2| = a² + b² = 1} is a subgroup of C*.
cos O
- sin 0
-
(b) SO2(R)
| 0 ER} is a subgroup of GL2(R).
sin 0
cos O
(c) S' = SO2(R).
= cos a cos B – sin a sin 3 and sin(a + B) = sin a cos 3 + cos a sin 3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F43f8b2c2-a9ca-4903-9d0d-cd293e490b2f%2F61867ce0-3518-45ef-909d-0add851ad3f1%2Fk0m372f_processed.png&w=3840&q=75)
Transcribed Image Text:2. Show that
(a) S' = {z = a + bi e C|a,b E R, |2| = a² + b² = 1} is a subgroup of C*.
cos O
- sin 0
-
(b) SO2(R)
| 0 ER} is a subgroup of GL2(R).
sin 0
cos O
(c) S' = SO2(R).
= cos a cos B – sin a sin 3 and sin(a + B) = sin a cos 3 + cos a sin 3
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