Given the following three complex number: Z1=2+ j6, Z2 = 6– j3, and V = 30+ j40 V If I =V (Zl+Z2) Determine I in rectangular form.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter7: Real And Complex Numbers
Section7.3: De Moivre’s Theorem And Roots Of Complex Numbers
Problem 8E
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Q1
(a) Given the following three complex number:
Z1=2+ j6, Z2=6- j3,and V = 30+ j40 V
V
If I:
(Zl+Z2)
Determine I in rectangular form.
(b) In the triangle ABC, angle ABC is 30 degrees and the lengths AB=8 cm
and BC=10 cm. Determine the length of AC.
sin x
Given that f(x)=-
cos x
d
, show that
dx
(c)
-S(x)) =1+tan² x
(d)
Given that y=e* sin(3x) determine
dy
dx
Transcribed Image Text:Q1 (a) Given the following three complex number: Z1=2+ j6, Z2=6- j3,and V = 30+ j40 V V If I: (Zl+Z2) Determine I in rectangular form. (b) In the triangle ABC, angle ABC is 30 degrees and the lengths AB=8 cm and BC=10 cm. Determine the length of AC. sin x Given that f(x)=- cos x d , show that dx (c) -S(x)) =1+tan² x (d) Given that y=e* sin(3x) determine dy dx
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