Express z = -2+4i in its trigonometric form

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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a. Express z = -2+ 4i in its trigonometric form r (cos(0) + i sin(0)) with 0 ≤0<2TT.
Give your answers to three decimal places.
T=
Ә
sin (a)
2
di
ab
0
ab
b. Calculate
R
sin (a)
8+51
1+ 41
sin (a)
Ə
da
f
R
∞
a S2
and express it as R 11 (in exact form).
8
R
Transcribed Image Text:a. Express z = -2+ 4i in its trigonometric form r (cos(0) + i sin(0)) with 0 ≤0<2TT. Give your answers to three decimal places. T= Ә sin (a) 2 di ab 0 ab b. Calculate R sin (a) 8+51 1+ 41 sin (a) Ə da f R ∞ a S2 and express it as R 11 (in exact form). 8 R
I=
ab
sin (a)
ə
di
∞
S2
c. Calculate (-4+31) (1-31) and express it in exponential form rei with 00 < 2T
Give your answers to three decimal places.
ab
sin (a)
***
S2
Or
sin (a)
S
R
a
E
Subr
Transcribed Image Text:I= ab sin (a) ə di ∞ S2 c. Calculate (-4+31) (1-31) and express it in exponential form rei with 00 < 2T Give your answers to three decimal places. ab sin (a) *** S2 Or sin (a) S R a E Subr
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