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 = 20 ( cos 75 ∘ + i sin 75 ∘ ) z 2 = 4 ( cos 25 ∘ + i sin 25 ∘ )
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 = 20 ( cos 75 ∘ + i sin 75 ∘ ) z 2 = 4 ( cos 25 ∘ + i sin 25 ∘ )
Solution Summary: The author explains how to calculate the division of two complex numbers in polar form: lz_1=r
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
=
20
(
cos
75
∘
+
i
sin
75
∘
)
z
2
=
4
(
cos
25
∘
+
i
sin
25
∘
)
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.
InThe Northern Lights are bright flashes of colored light between 50 and 200 miles above Earth.
Suppose a flash occurs 150 miles above Earth. What is the measure of arc BD, the portion of Earth
from which the flash is visible? (Earth’s radius is approximately 4000 miles.)
e).
n!
(n - 1)!
Suppose you flip a fair two-sided coin four times and record the result.
a). List the sample space of this experiment. That is, list all possible outcomes that could
occur when flipping a fair two-sided coin four total times. Assume the two sides of the coin are
Heads (H) and Tails (T).
Chapter 7 Solutions
MyLab Math with Pearson eText -- Combo Access Card (18-wk) for Algebra & Trigonometry
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