Polar Coordinates and Complex Numbers

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)

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

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

• √10, Quadrant 2

• √10, Quadrant 3

• 2, Quadrant 2

• 3, Quadrant 3

Which are possible coordinates of the point graphed?

• (-2, 120^o)

• (-2, 60^o)

• (2, -120^o)

• (2, 60^o)

Identify the rectangular form, modulus, and argument of the complex number represented on the graph.

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

Convert the polar coordinates to rectangular form

• ( -3, 3)

• (3, 3√3)

• (-3, 3√3)

• (3, -3√3)

Write the equation of the polar graph in polar form.

• r = 3cos(θ)

• r = -3cos(θ)

• r = 3sin(θ)

• r = -3sin(θ)