Complex Numbers

Write the complex number in rectangular form

Tags

CCSS.HSN.CN.B.4

Find the indicated power using DeMoivre's Theorem 

• 72 - 72√3i

• - 72√3 + 72i

• - 72√2 + 72√2i

• -72 + 72√3i

Tags

CCSS.HSN.CN.B.4

If z = 2(cos(20) + isin(20)) and w = 3(cos(105) + isin(105)), find z / w. Choose all that apply.

• 2/3(cos(-85) + isin(-85))

• 2/3(cos(275) + isin(275))

• 3/2(cos(85) + isin(85))

• 6(cos(125) + isin(125))

Tags

CCSS.HSN.CN.B.4

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

Tags

CCSS.HSN.CN.B.4

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

Multiply
(3i)(-2+4i)

• -6+12i

• -12-6i

• -2+7i

• 12+6i

Tags

CCSS.HSN.CN.A.2

Simplify: 
(7 + 2i)(9 - 6i)

• 75-24i

• 63 - 24i  - 12i²

• 51 - 24i

• 58 + 60i

Tags

CCSS.HSN.CN.A.2

Simplify 
√-25

• -5i

• 5

• 5i

• -5

√-108

• 3i√6

• 3i√20

• 6i√3

• 20i√3

Simplify
2i - 7i + 10

• -5i+10

• 5i

• 9i+10

• 5i+10

Tags

CCSS.HSN.CN.A.2