Practice Exam Iii Trigonometry Worksheet With Answers Page 4
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1
2
3
4
5
6
7Write the complex number in rectangular form.
2π
2π
32) 5(cos
+ i sin
)
32)
3
3
Find the product of the complex numbers. Leave answer in polar form.
π
π
33) z 1 = 7 cos
+ i sin
33)
4
4
π
π
z 2 = 4 cos
+ i sin
6
6
34) z 1 = 4i
34)
z 2 = -6 + 6i
z 1
Find the quotient
of the complex numbers. Leave answer in polar form.
z 2
3π
3π
35) z 1 = 6 cos
+ i sin
35)
2
2
5π
5π
z 2 = 12 cos
+ i sin
6
6
1
2π
2π
36) z 1 =
cos
+ i sin
36)
8
3
3
1
π
π
z 2 =
cos
+ i sin
3
4
4
37) z 1 = 14(cos 37° + i sin 37°)
37)
z 2 = 2(cos 6° + i sin 6°)
Use DeMoivre's Theorem to find the indicated power of the complex number. Write the answer in rectangular form.
38) (cos 30° + i sin 30°) 12
38)
5
7π
7π
39) 2 2 (cos
+ i sin
)
39)
4
4
40) (1 + i) 20
40)
Find all the complex roots. Write the answer in the indicated form.
2π
2π
41) The complex square roots of 2 (cos
+ i sin
) (rectangular form)
41)
3
3
42) The complex cube roots of 8 (rectangular form)
42)
43) The complex cube roots of -8 (rectangular form)
43)
44) The complex cube roots of 8i (rectangular form)
44)
4
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