Math Test With Answers Page 2
ADVERTISEMENT
1
2
3
4Find the following quotient, and write the quotient in rectangular form, using exact values.
3(cos 315° + i sin 315°)
6)
6(cos 45° + i sin 45°)
2
2
2
2
2
2
+
A) -
-
B) -
i
i
i
C)
D)
2
2
2
2
2
2
Answer: B
Objective: (8.3) Find Quotient (Trig Form), Write in Rectangular Form
Convert to trigonometric form and find the quotient. Write your answer in rectangular form.
3 + 2i
2
7)
3 - i
B) 1 +
3 + i
A)
3
3i
C)
D)
3i
Answer: B
Objective: (8.3) Find Quotient (Rectangular Form)
Solve the problem.
8) In a parallel electrical circuit, the impedance Z can be calculated using the equation
1
+ 1
1
=
Z 1
Z 2
Z
where Z 1 and Z 2 are the impedances for the branches of the circuit.
If Z 1 = 10 + 20i and Z 2 = 30 + 10i, find Z
D) Z = 1
- 1
A) Z = 10 + 10i
B) Z = 10 - 10i
C) Z = 40 + 30i
i
20
20
Answer: A
Objective: (8.3) Solve Apps: Alternating Current
Find the following quotient, and write the quotient in rectangular form, using exact values.
9) 8(cos 90° + i sin 90°)
3(cos 30° + i sin 30°)
A) 4
+ 4
3
B) 5
+ 5
3
C) 8 + 8
D) 1 +
i
i
3i
3i
3
3
2
2
Answer: A
Objective: (8.3) Find Quotient (Trig Form), Write in Rectangular Form
Convert to trigonometric form and find the quotient. Write your answer in rectangular form.
4
10)
-1 + i
A) -2
3 - 2i
B) 2 - 2i
C) -2 - 2i
D) -2 + 2i
3
Answer: C
Objective: (8.3) Find Quotient (Rectangular Form)
2
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education