Polar Coordinates and Complex Numbers

Where is point B located?

• 2 + i

• -3

• 2i

• -1 - i

Find the modulus of the complex number. Also state what quadrant the point would land in.

-3 + i

• √10, Quadrant 2

• √10, Quadrant 3

• 2, Quadrant 2

• 3, Quadrant 3

Express the complex number in polar form.
-2 + 5i

• 5.39 ( cos 1.95 + i sin 1.95)
• 5.39 ( cos 65.06 + i sin 65.06)
• 2.65 ( cos 1.95 - i sin 1.95 )
• 2.65 ( cos 65. 06 - i sin 65.06 )

Express the complex number in polar form.
6 + 2i

• 6.32 ( cos 0.32 + i sin 0.32)
• 6.32 ( cos 0.45 + i sin 0.45)
• 1.73 ( cos 0.32 + i sin 0.32)
• 1.73 ( cos 0.45 - i sin 0.45)

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

Which point represents the polar coordinate
(-4, -2π/3)?

• B
• F
• D
• A

Express the point in trig form in standard form.
4 ( cos π /3 + i sin π /3)

• 2 + 2√3 i
• 2 + √3 i
• 2 - 2√3 i
• -2 + 2√3 i

Convert the polar coordinates to rectangular form

• ( -3, 3)
• (3, 3√3)
• (-3, 3√3)
• (3, -3√3)

What is the complex conjugate of  4-3i?

• A.  1/(4-3i)
• B. 1/(4+3i)
• C.  -4 + 3i
• D.  4 + 3i

Convert from rectangular to polar coordinates: (5√2, -5√2)

• (-10, π/4)
• (2√5, 7π/4)
• (10, 7π/4)
• (10√2, 7π/4)