Semester Two Warm Up #11

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

-3 + i

• √10, Quadrant 2

• √10, Quadrant 3

• 2, Quadrant 2

• 3, Quadrant 3

Express the complex number in trigonometric 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 trigonometric 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 trig form. Then express your final answer in rectangular form.

• -10

• 10

• -10i

• 10i

Find
 1/2 ( cos π /3 + i sin π /3)
÷ 3 ( cos π /6 + i sin π /6)
and express your final answer in rectangular form.

• √3/12 + 1/12 i
• 12√3 + 12 i
• √3/12 - 1/12 i
• 12√3 - 12i

Tags

CCSS.HSN.CN.B.4

Find the indicated power using DeMoivre's Theorem 

• 256
• 4096i
• 4096
• -4096

Tags

CCSS.HSN.CN.B.4