MAT-172 Chapter 9/10 Review

Which of the following could be the equation for...

• r = 6 + 6 sin θ

• r = 12 sin θ

• r = 6 - 6 sin θ

• r = 6 + 6 cos θ

• Line passing through origin

• circle with center NOT at (0,0)

• spiral

• circle with center AT (0,0)

How do you write an ordered pair in polar coordinates?

• F

• E

• B

• A

Plot each point given in polar coordinates and find the other polar coordinates (r,θ) if the point which  r >0, -2π≤θ<0.
(-2,3π)

• (2, -2π)
• (-2, π)
• (2, 2π)
• (-2, -2π)

Write the complex number in polar form

• 3 ( cos 3π/2 + i sin 3π/2)
• 3 ( cos π/2 + i sin π/2)
• 9 ( cos 3π/2 + i sin 3π/2)
• 3 ( cos 2π + i 2π)

Convert the rectangular coordinate (0, -3) to polar coordinates.

• (3, -270^o)
• (3, 270^o)
• (-3, 270^o)
• Not Possible

Find the absolute value of the complex number. Also state the quadrant in which the point lies.

2 + 3i

• √13, Quadrant 1

• √5, Quadrant 1

• √11, Quadrant 2

• √11, Quadrant 3

What quadrant would the point in polar form land in?
4 ( cos π /3 + i sin π /3)

• Quadrant 4
• Quadrant 1
• Quadrant 2
• Quadrant 3

Find    
5(cos 2π /3 + i sin 2π /3)⋅2( cos π /3 + i sin π /3)
in polar form.  Then express your final answer in rectangular form.

• -10
• 10
• -10i
• 10i