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December 21, 2014

December 21, 2014

Posted by **Rodrick** on Wednesday, December 5, 2012 at 2:13pm.

6. Change -4√2 - 4√2 to trigonometric form

A. 32 cis 135°

B. 8 cis 225°

C. 8 cis 45°

D. 32 cis 45°

7. Simplify (2 cis 100°)7.

A. 2 cis 700°

B. 128 cis 280°

C. 128 cis 340°

D. 2 cis 340°

9. Simplify

12(cos52° + i sin52°)/8(cos128°+isin128°)

16. 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)

17. 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

18. Simplify (4 − 9i ) − (2 − 4i ).

A. 2 − 13i

B. 2 − 5i

C. −5 + 2i

D. 2 + 13i

- Trigonometry -
**Steve**, Wednesday, December 5, 2012 at 2:27pm6. since both x and y are negative, we are in QIII, so (C). Luckily r=8 fits as well.

7. (C): 2^7 cis(7*100) = 128 cis 340

9. 12/8 cis(52-128) = 3/2 cis -76

16. (B)

17. (D)

18. (B)

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