PreCal_3.21.24_Complex Numbers and Polar Coordinates_WG

Find the absolute value 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

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

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 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 )

Convert  (-√2 - √2i)  to Polar (cis) Form.

• 4 cis(π/4)
• 2 cis(π/4)
• 4 cis(5π/4)
• 2 cis(5π/4)

Convert  5√3 - 5i  to Polar (cis) Form.

• √40 cis(11π/6)
• 10 cis(π/6)
• 10 cis(11π/6)
• √40 cis(-π/6)