In Exercises 37-44, find the product of the complex numbers. Leave answers in polar form. z 1 = 3 ( cos π 5 + i sin π 5 ) z 2 = 4 ( cos π 10 + i sin π 10 )
In Exercises 37-44, find the product of the complex numbers. Leave answers in polar form. z 1 = 3 ( cos π 5 + i sin π 5 ) z 2 = 4 ( cos π 10 + i sin π 10 )
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
=
3
(
cos
π
5
+
i
sin
π
5
)
z
2
=
4
(
cos
π
10
+
i
sin
π
10
)
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.
Express the complex number
2=
9√3+9i in standard polar form.
Find the quotient z1/z2 of the complex numbers. Leave the answer in polar form with the argument between 0 and 2pi.
z1=6(cos 2pi/3+i sin 2pi/3)
z2=2(cos pi/4+i sin pi/4)
Z₁
Find the quotient of the complex numbers. Leave your answer in polar form.
Z2
Z₁ = 24( cos 48° + i sin 48°) Z₂ = 6( cos 6° + i sin 6°)
O A. 4(cos 42° + i sin 42°)
OB. 4(cos 8° + i sin 8°)
OC. 4(cos 48° sin 6° + i sin 48° cos 6°)
O D. 4[(cos 48° - cos 6°) + i (sin 48° - sin 6°)]
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