DeMoivres Theorem and Roots of Complex Numbers

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

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

Find the square roots of 4√3 + 4i

• 2.705 + .725i and - 2.705 - .725i
• - 2.705 + .725i and  2.705 - .725i
• 2.799 + .0128i and - 2.799 - .0128i
• - 2.799 + .0128i and  2.799 - .0128i

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 
(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

Tags

CCSS.HSN.CN.B.4

Identify the graph for the polar equation r=4 sinθ

• 
• 
• 
• 

Tags

CCSS.HSN.CN.B.4

Convert the rectangular coordinates to polar form

• (√8 , 7π/6)
• (4 , 3π/4)
• (√8 , π/6)
• (8 , 7π/6)

Tags

CCSS.HSN.CN.B.4

Convert the polar equation to rectangular form

• x = 2 cos θ
• x = 2
• y = 2
• x² + y² = 2

Tags

CCSS.HSN.CN.B.4

Which equation represents the polar graph?

• r = sin 4θ
• r = 6 sin 2θ
• r = 6 cos 2θ
• r = cos 4θ

Which equation represents the polar graph?

• r = 6 + 6 sin θ
• r = 12 sin θ
• r = 4 - 3 sin θ
• r = 4 + 5 sin θ

Tags

CCSS.HSN.CN.B.4