Trigonometry
posted by Carlos on .
Please check if i did right!
2. Choose the point that lies on the curve r = 2 – 3 sin θ.
A. (5, 3π/2) <
B. (–2, π)
C. (1, π/2)
D. (5, π/2
3. Which of the following is not an approximate solution of x5 – 1 = 0?
A. 0.3090 – 0.9511i
B. 0.8090 + 0.5878i
C. 0.3090 + 0.9511i <
D. –0.8090 + 0.5878i
5. Change 4√2  4√2i to trigonometric form.
A. 32 cis 135° <
B. 8 cis 225°
C. 8 cis 45°
D. 32 cis 45°
6. Simplify (2 cis 100°)7.
A. 2 cis 700°
B. 128 cis 280°
C. 128 cis 340°
D. 2 cis 340° <
8. Simplify 12(cos 52° + i sin 52°)/ 8(cos 128° + i sin 128°)
A. 3/2cis 152°
B. 3/2cis 76° <
C. 3/2cis 180°
D. 3/2cis 284°
9. Simplify i 45.
A. –i
B. 1 <
C. i
D. –1
10. Given the rectangularform point (–1, 4), which of the following is an approximate primary representation in polar form?
A. (4.12, 1.82)
B. −(4.12, 1.82)
C. (−4.12, −1.33) <
D. (4.12, 4.96)
11. Simplify (√2 cis 47°)(3√8
A. 48 cis 223°
B. 12 cis 223°
C. 48 cis 136°
D. 12 cis 136° <
12. Which of the following statements are true?
(i) r = 4 – 3 sin θ is the equation for a limaçon rotated 90°.
(ii) r = 3 cos 8θ is the equation for a rose curve with 8 petals.
(iii) rθ = 16 is the equation for a circle.
A. (ii) only
B. (i) only <
C. (i) and (ii)
D. (i) and (iii)
13. Describe the rotation required to transform the graph of r = 4 − cos (θ − 30°) sin (θ − 30°) to the graph of r = 4 − cos θ sin θ.
A. 30° counterclockwise
B. 60° clockwise <
C. 60° counterclockwise
D. 30° clockwise
14. Simplify (4 − 9i ) − (2 − 4i ).
A. 2 − 13i <
B. 2 − 5i
C. −5 + 2i
D. 2 + 13i
15. Find the absolute value of –2 + 6i.
A. 4
B. 4√2
C. 2√2
D. 2√10<

2. since sin(3π/2) = 1, (5,3π/2) would be on the curve, but not (5,3π/2). In fact, none of the choices fits.
3. B
5. B
6. C
8. D
9. C (if that's i^45)
10. A
11. B or D (text cut off)
12. ok
13. D
14. B
15. ok
Hmm. Looks like you have some reviewing to do. 
thank you so much, i just missed a lot of school in the past month and im trying to catch up