Complex Coordinate

Find the absolute value of the complex number. Also state what quadrant the point would land in.
2 + 3i

• √13,  Quadrant 1
• √5,  Quadrant 1
• √11, Quadrant 2
• √11, Quadrant 3

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)

Find 
(3 + 3√3 i )⁴ 
using De Moivre's Theorem and express your answer in rectangular form.

• -648 - 648 √3 i
• -654 - 654 √3 i
• -1962 - 1962 √3 i
• 648 i

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 )

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

What is the conjugate of -2+5i?

• -5+2i
• -2-5i
• 2+5i
• 5-2i

Tags

CCSS.HSN.CN.A.3

CCSS.HSN.CN.B.5

Simplify:  (4+2i)/(3-i)

• 1-i
• 1+i
• 10+10i
• 1+10i

Tags

CCSS.HSA.APR.A.1

What complex number is represented by the graph?

• -3-i
• -3+i
• 1+3i
• 1-3i

Tags

CCSS.HSN.CN.A.1

CCSS.HSN.CN.B.4

CCSS.HSN.CN.B.5

The rectangular form of the complex number 12(cos315^o + i sin315^o) is...

• 6√2 + 6√2 i
• 6√2 - 6√2 i
• -6√2 + 6√2 i
• -6√2 - 6√2 i

Tags

CCSS.HSN.CN.A.1

CCSS.HSN.CN.B.4

Simplify

• a
• b
• c
• d