In Exercises 45-52, find the quotient z 1 z 2 of the complex numbers. Leave answers in polar form. In Exercises 49-50, express the argument as an angle between 0° and 360°. z 1 = 3 ( cos 5 π 18 + i sin 5 π 18 ) z 2 = 10 ( cos π 16 + i sin π 16 )
In Exercises 45-52, find the quotient z 1 z 2 of the complex numbers. Leave answers in polar form. In Exercises 49-50, express the argument as an angle between 0° and 360°. z 1 = 3 ( cos 5 π 18 + i sin 5 π 18 ) z 2 = 10 ( cos π 16 + i sin π 16 )
Solution Summary: The author explains how the division of two complex numbers in polar form is calculated as lz_1=3(mathrm
In Exercises 45-52, find the quotient
z
1
z
2
of the complex numbers. Leave answers in polar form. In Exercises 49-50, express the argument as an angle between 0° and 360°.
z
1
=
3
(
cos
5
π
18
+
i
sin
5
π
18
)
z
2
=
10
(
cos
π
16
+
i
sin
π
16
)
Combination of a real number and an imaginary number. They are numbers of the form a + b , where a and b are real numbers and i is an imaginary unit. Complex numbers are an extended idea of one-dimensional number line to two-dimensional complex plane.
Find the argument (angle θ) in radians for the given complex number z = 4.1 + (7)i.
Rewrite the complex number 5(cos5.5+i sin5.5) in a+bi form
Exercise 2: Write the given complex number in rectangular coordinates (recall that the
angels are in radians):
a.) c13 = 3cis() = 3(cos() + i sin (4)
b.) c14
=
6cis(T)
c.) c15= 3cis (4.2)
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