Polar form complex numbers

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

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

Express the point in polar form in rectangular form.
4 ( cos π /3 + i sin π /3)

• 2 + 2√3 i
• 2 + √3 i
• 2 - 2√3 i
• -2 + 2√3 i

Tags

CCSS.HSN.CN.B.4

Find    
5(cos 2π /3 + i sin 2π /3)⋅2( cos π /3 + i sin π /3)
in polar form.  Then express your final answer in rectangular form.

• -10
• 10
• -10i
• 10i

Tags

CCSS.HSN.CN.B.4

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

Write the complex number in polar form

• √50 (cos π/2 + i sin π/2)
• 50 (cos π/4 + i sin π/4)
• √50 (cos 5π/4 + i sin 5π/4)
• √50 (cos π/4 + i sin π/4)

Tags

CCSS.HSN.CN.B.4

Write the complex number in polar form

• 3 ( cos 3π/2 + i sin 3π/2)
• 3 ( cos π/2 + i sin π/2)
• 9 ( cos 3π/2 + i sin 3π/2)
• 3 ( cos 2π + i 2π)

Tags

CCSS.HSN.CN.B.4

Which of the following is the complex conjugate of 3 + 4i?

• -3 + 4i
• -3 - 4i
• 3 - 4i
• 7i

Tags

CCSS.HSN.CN.A.3

Simplify:
-3i(4 + 2i)

• 6 - 12i
• 6 + 12i
• -12i - 6i²
• -12i + 6i²

Tags

CCSS.HSA.APR.A.1

Express this complex number in rectangular form.

4 ( cos π /3 + i sin π /3)

• 2 + 2√3 i

• 2 + √3 i

• 2 - 2√3 i

• -2 + 2√3 i

Tags

CCSS.HSF-IF.C.8B