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) <22

Step 1: (a)-1. Let z=x+iy where x=Re(z) and y=Im(z). Given Im(z)=1, we have y=1. Thus, z=x+i and…

Answered: (a) Find the image of the given line…

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