Show that |sinh x| |cosh z| cosh x by using (a) Identity (12), Sec. 35;
Question:
(a) Identity (12), Sec. 35;
(12) |cosh z|2 = sinh2 x + cos2 y,
where z = x + iy. While these identities follow directly from definitions (1), they are often more easily obtained from related trigonometric identities, with the aid of relations (3) and (4).
(b) The inequalities |sinh y| ≤ |cos z| ≤ cosh y, obtained in Exercise 9(b), Sec. 34.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Related Book For
Complex Variables and Applications
ISBN: 978-0073051949
8th edition
Authors: James Brown, Ruel Churchill
Question Posted: