Complex Numbers Polar Form

Express the complex number in polar form.
6 + 2i

• 6.32 ( cos 18.4 + i sin 18.4)

• 6.32 ( cos 161.6 + i sin 161.6)

• 1.73 ( cos 18.4 + i sin 18.4)

• 1.73 ( cos 0.45 - i sin 0.45)

Tags

CCSS.HSN.CN.B.4

• 6 (cos 150 + i sin 150)

• 6 (cos 330 + i sin 330)

• 3 (cos 300 + i sin 300)

• 6 (cos 300 + i sin 300)

Tags

CCSS.HSN.CN.B.4

What is the polar form of z=4(cos 500°+isin500°)?

• z=4(cos 140°+isin140°)

• z=4(cos 360°+isin360°)

• z=(cos 500°+isin500°)

• This is polar form.

Tags

CCSS.HSN.CN.B.4

What is the polar form of z=-7i ?

• 7(cos 270°+isin270°)

• -7(cos 270°+isin270°)

• 7(cos-90°+isin-90°)

• -7(cos180°+isin180°)

Tags

CCSS.HSN.CN.B.4

If z₁=4(cos90°+isin90°) and z₂=2(cos100°+isin100°), then z₁+z₂=

• 6(cos190°+isin190°)

• 8(cos900°+isin900°)

• 6(cos10°+isin10°)

• can not be evaluated in polar form

Tags

CCSS.HSN.CN.B.4

If z₁=4(cos90°+isin90°) and z₂=2(cos90°+isin90°), then z_1*z₂=

• 8(cos8100°+isin8100°)

• 6(cos180°+isin180°)

• 8(cos180°+isin180°)

• 6(cos90°+isin90°)

Tags

CCSS.HSN.CN.B.4

If z=2(cos90°+isin90°), then z³=

• 6(cos270°+isin270°)

• 8(cos270°+isin270°)

• 6(cos90°+isin90°)

• 8(cos90°+isin90°)

Tags

CCSS.HSN.CN.B.4

What is the polar form of z=-7 ?

• 7(cos 180°+isin180°)

• -7(cos 270°+isin270°)

• 7(cos-180°+isin-180°)

• 7(cos90°+isin90°)

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 benefit of using the polar form of complex numbers?

Tags

CCSS.HSN.CN.B.4