1.
Simplify
A.
B.
3+2𝑖
1−𝑖
3−2𝑖 2
2
5−𝑖
2
C. 3 − 2𝑖
D.
1+5𝑖
2
2. Simplify (2 − 3𝑖)2
A. 4 − 9𝑖 2
B. 13
C. −5 − 12𝑖
D. 4 − 6𝑖 + 9𝑖 2
3. What would be the rectangular equivalent of the polar equation: 𝑟 = 𝑠𝑒𝑐𝜃
A. 𝑥 = 1
B. 𝑦 = 1
4.
5.
6.
7.
8.
C. √𝑥 2 + 𝑦 2 = 𝑥
D. 𝑥 2 = 𝑦
Express 2𝑐𝑖𝑠50° in rectangular form.
A. 1.29 + 1.53𝑖
B. 1.53 + 1.29𝑖
C. 1.29 − 1.53𝑖
D. 1.53 − 1.29𝑖
Express −1 − 2𝑖 in polar form.
A. 2.5𝑐𝑖𝑠243°
B. √5𝑐𝑖𝑠243°
C. √3𝑐𝑖𝑠243°
D. 1.25𝑐𝑖𝑠243°
How many petals are on the graph of 𝑟 = 3cos⁡(6𝜃)?
A. 3
B. 6
C. 12
D. 9
Convert 𝑥 = 𝑡 3 , 𝑦 = 2𝑡 − 1 into an expression involving only x and y.
A. 𝑥 = 8𝑡 3 − 1
B. 𝑥 = (2𝑦 − 1)3
3
C. √𝑥 = 𝑦
3
D. 𝑦 = 2 √𝑥 − 1
Convert the point (3, -4) in rectangular coordinates to polar coordinates.
A. (5, -0.927)
B. (-5, -0.927)
C. (5, 0.927)
D. (-5, 0.927)
9. Convert the point (-2, 0.134) in polar coordinates to rectangular coordinates.
A. (-1.982, -0.267)
B. (1.982, 0.267)
C. (-0.267, -1.982)
D. (0.267, 1.982)
10. Which of the following is NOT the same point in polar coordinates as (3, -1.236)?
A. (3, 5.047)
B. (-3, 1.236)
C. (-3, 1.906)
D. (3, -7.518)
Answers:
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
D
C
A
A
B
C
D
A
A
B