Solve the equation sin z = 2 for z by RIC (a) equating real parts and then imaginary parts in that equation; (b) using expression (2), Sec. 40, for sin¹ z. 1 Ans. z = 2n + 2 л±iln(2+√√3)(n = 0, ±1, ±2,...).
Solve the equation sin z = 2 for z by RIC (a) equating real parts and then imaginary parts in that equation; (b) using expression (2), Sec. 40, for sin¹ z. 1 Ans. z = 2n + 2 л±iln(2+√√3)(n = 0, ±1, ±2,...).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Expression (2): sin^-1(z) = log[z + (z^2 +1)^1/2]
Also note the answers should be the same for parts a and b and should match the answer given below the problem

Transcribed Image Text:2. Solve the equation sin z = 2 for z by
TRIC
(a) equating real parts and then imaginary parts in that equation;
(b) using expression (2), Sec. 40, for sin¹ z.
Ans. z =
(2n+) л±iln(2+√√3)(n = 0, ±1, ±2, ...).
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 26 images

Recommended textbooks for you

Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated

Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY

Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated

Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY

Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,

