Question
Asked Sep 20, 2019

give 2 examples of questions and answers for each material namely

a. basic functions of complex numbers,

b. euler formulation,

c. roots and rank of complex numbers, d. exponential and trigonometric functions of complex numbers,

e. hyperbolic functions,

f. logarithm.

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We need to give 2 examples of questions and answers...

(a) Basic Functions of complex numbers:
Complex numbers are denoted as z x iy, where x is the real part of z and y is
the imaginary part. And if a function is taking complex values are called complex
function
Give some examples: (i) f(z) 3 (ii) f(z) z - i
(b) Euler Formula
Euler formula states that for any real number x,
elxcos x + i sin x.
Simplify the functions using Eul
e2 (iir cos0 + r sin0
ormula
(i)
Answer
e*(ey)
e*(cos y
i sin y)
extiy
(i)
=
=
(ii)
r cos er sin 0
reie
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(a) Basic Functions of complex numbers: Complex numbers are denoted as z x iy, where x is the real part of z and y is the imaginary part. And if a function is taking complex values are called complex function Give some examples: (i) f(z) 3 (ii) f(z) z - i (b) Euler Formula Euler formula states that for any real number x, elxcos x + i sin x. Simplify the functions using Eul e2 (iir cos0 + r sin0 ormula (i) Answer e*(ey) e*(cos y i sin y) extiy (i) = = (ii) r cos er sin 0 reie

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