Polar Complex Numbers and Roots of 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)

Tags

CCSS.HSN.CN.B.4

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

Tags

CCSS.HSN.CN.B.4

What is the radius to the following rectangular point:

(5, 2)

• 5

• 2

• √29

• √27

What complex number is represented by the graph?

• -3-i
• -3+i
• 1+3i
• 1-3i

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  (1 + √3i)  to Polar (cis) Form.

• 2 cis(π/6)
• 2 cis(π/3)
• 4 cis(π/6)
• 4 cis(π/3)

Tags

CCSS.HSN.CN.B.4

Write the complex number in polar form

• √50 (cos π/2 + i sin π/2)
• 50 (cos π/4 + i sin π/4)
• √50 (cos 5π/4 + i sin 5π/4)
• √50 (cos π/4 + i sin π/4)

Find the square roots of 4√3 + 4i

• 2.705 + .725i and - 2.705 - .725i
• - 2.705 + .725i and  2.705 - .725i
• 2.799 + .0128i and - 2.799 - .0128i
• - 2.799 + .0128i and  2.799 - .0128i

Find the square roots of 1 + i

• - 1.09 + .452i and 1.09 - .452i
• 1.84 + .765i and -1.84 - .765i 
• 1.09 + .452i and -1.09 - .452i
• -1.84 + .765i and 1.84 - .765i