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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
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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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

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, ...).
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, ...).
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