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(a) Find the image of the given line under the given map, 1. Im(z) = 1; f(z) = cos(z) 2. Re(z) = f(2) = sin(2) ; (b) Find the image of the set U under the function f(z) = sin(z). U = { € C : - < Re(z) < 2 2

(a) Find the image of the given line under the given map, 1. Im(z) = 1; f(z) = cos(z) 2. Re(z) = f(2) = sin(2) ; (b) Find the image of the set U under the function f(z) = sin(z). U = { € C : - < Re(z) < 2 2

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 92E
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(a) Find the image of the given line under the given map, 1. Im(z) = 1; f(z) = cos(z) 2. Re(z) = f(2) = sin(2) ; (b) Find the image of the set U under the function f(z) = sin(z). U = { € C : - < Re(z) < 2 2
Transcribed Image Text:(a) Find the image of the given line under the given map, 1. Im(z) = 1; f(z) = cos(z) 2. Re(z) = f(2) = sin(2) ; (b) Find the image of the set U under the function f(z) = sin(z). U = { € C : - < Re(z) < 2 2
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