Complex Numbers - Standard to Polar

Find the polar coordinates of the rectangular point. (0,3)

• (3,π)
• (3,0)
• (3,π/2)
• (3,-3π/2)

Tags

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

CCSS.HSG.C.B.5

Convert the rectangular coordinates to polar coordinates
(6√3, 6)

• (12, π/6)
• (6, 7π/6)
• (6, π/6)
• (12, 7π/6)

Tags

CCSS.HSN.CN.B.4

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

CCSS.HSG.C.B.5

How do you write an ordered pair in polar coordinates?

• (X, Y)

• (θ, r)

• (r,θ)

• (Y_Y)

Tags

CCSS.5.G.A.1

Convert the polar coordinates to rectangular form

• ( -3, 3)
• (3, 3√3)
• (-3, 3√3)
• (3, -3√3)

Tags

CCSS.HSN.CN.B.4

CCSS.HSF.TF.A.3

Where is point B located?

• 2 + i

• -3

• 2i

• -1 - i

Tags

CCSS.HSN.CN.B.4

Where is point A located?

• 2 + i

• -3

• 2i

• -1 - i

Tags

CCSS.HSN.CN.A.1

Where is point C located?

• 2 + i

• -3

• 2i

• -1 - i

Tags

CCSS.HSN.CN.B.4

Find the modulus 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

Which are possible coordinates of the point graphed?

• (-2, 120^o)
• (-2, 60^o)
• (2, -120^o)
• (2, 60^o)

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