In Exercises 37-44, find the product of the complex numbers. Leave answers in polar form. z 1 = 6 ( cos 20 ∘ + i sin 20 ∘ ) z 2 = 5 ( cos 50 ∘ + i sin 50 ∘ )
In Exercises 37-44, find the product of the complex numbers. Leave answers in polar form. z 1 = 6 ( cos 20 ∘ + i sin 20 ∘ ) z 2 = 5 ( cos 50 ∘ + i sin 50 ∘ )
Solution Summary: The author explains how to calculate the multiplication of two complex numbers in polar form.
In Exercises 37-44, find the product of the complex numbers. Leave answers in polar form.
z
1
=
6
(
cos
20
∘
+
i
sin
20
∘
)
z
2
=
5
(
cos
50
∘
+
i
sin
50
∘
)
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.
Rewrite the complex number 5(cos5.5+i sin5.5) in a+bi form
Write each complex number in standard (or rectangular) form.
Give exact values in your answers (not decimal approximations).
(a) 6 (cos 330° + i sin 330°) = ☐
(b) 3
π
cos-
4
+ i sin
4)-0
=
What is the result of multiplication of complex numbers -√3+1 and (cos+ i sin )?
A (cos+isin)
B
U
D
(cos + + i sin )
(cos+isin)
(cos+ i sin )
Chapter 7 Solutions
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