(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

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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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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