QUESTION 3 (3.1) Let z = x+iy € C. Show that sin(z) = sin x cosh y + i cos x sinh y. (3.2) Write (-√√3+i) ³/2 in the form a + bi.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 105E
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QUESTION 3
(3.1) Let z = x+iy € C. Show that sin(z) = sin x cosh y + i cos x sinh y.
(3.2) Write (-√3+i)³/2 in the form a + bi.
Transcribed Image Text:QUESTION 3 (3.1) Let z = x+iy € C. Show that sin(z) = sin x cosh y + i cos x sinh y. (3.2) Write (-√3+i)³/2 in the form a + bi.
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