(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

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 92E

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Don't use any AI tool show ur answer in pen and paper then take pictures and send

(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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