Given that z = cos + isin and u-iv-(1+z)(1-22). Show that 30 v = utan 2 r = 4² cos² (2). where r is the modulus of the complex numberu +-iv.
Given that z = cos + isin and u-iv-(1+z)(1-22). Show that 30 v = utan 2 r = 4² cos² (2). where r is the modulus of the complex numberu +-iv.
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
![Given that z = cos + i sin and u-iv-(1+z)(122²). Show that
v = utan
r = 4² cos²
where r is the modulus of the complex numberu + -iv.
30
2
(9).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F39b2a4d1-471d-453d-8651-4ed3b9fc5210%2F740c56be-8ae1-43ba-8dd3-f0730271d49c%2Fuiae2hw_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Given that z = cos + i sin and u-iv-(1+z)(122²). Show that
v = utan
r = 4² cos²
where r is the modulus of the complex numberu + -iv.
30
2
(9).
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