Answer the following questions. Show details of your work. Find all the solutions of cos z = 1+i. Make sure that the solutions you obtained checks out with the given equation. Evaluate the expression sin(4 + 31) cos(3 + 4i). a b Rewrite exp(2 +3nt) exp(-3 + ni/2) in the form x + yi. Find all the values of z that satisfy the equation e-1 = -ie?. Make sure that the solutions you obtained checks out with the d given equation. Show that (a) Isinh z|? = sin? y + sinh? x; (b) |cosh z|? = cos? y + sinh? x; and (c) the function tanh z is periodic with period x3B ni.
Answer the following questions. Show details of your work. Find all the solutions of cos z = 1+i. Make sure that the solutions you obtained checks out with the given equation. Evaluate the expression sin(4 + 31) cos(3 + 4i). a b Rewrite exp(2 +3nt) exp(-3 + ni/2) in the form x + yi. Find all the values of z that satisfy the equation e-1 = -ie?. Make sure that the solutions you obtained checks out with the d given equation. Show that (a) Isinh z|? = sin? y + sinh? x; (b) |cosh z|? = cos? y + sinh? x; and (c) the function tanh z is periodic with period x3B ni.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Answer the following questions. Show details of your work.
Find all the solutions of cos z = 1+i. Make sure that the solutions you obtained checks out with the given equation.
Evaluate the expression sin(4 + 3i) · cos(3+ 4i).
a
%3D
b
Rewrite
exp(2 + 3п()
еxp(-3 + пi/2)
in the form x + yi.
Find all the values of z that satisfy the equation e-1 = -ie?. Make sure that the solutions you obtained checks out with the
given equation.
Show that (a) Isinh zl = sin? y + sinh? x; (b) |cosh z|? = cos? y + sinh? x; and (c) the function tanh z is periodic with period
%3!
ni.
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