Polar and Vector

What quadrant would the point in standard 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 trig form in standard 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 trig 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 standard form.

• √3/12 + 1/12 i
• 12√3 + 12 i
• √3/12 - 1/12 i
• 12√3 - 12i

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

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

Tags

CCSS.HSN.CN.B.4

Which point represents (3, 3π/4)

• F
• E
• B
• A

Tags

CCSS.HSN.CN.B.4

Which point represents the polar coordinate
(-4, -2π/3)

• B
• F
• D
• A

Convert the rectangular coordinates to polar form

• (√2 , 7π/4)
• (2 , 3π/4)
• (4 , π/4)
• (4 , 5π/4)

Tags

CCSS.HSN.CN.B.4

Covert the rectangular equation to polar form

• r² = 81
• r = 3
• r = 4.5
• r sin θ = 9

Tags

CCSS.HSG.GPE.A.1

Convert the polar equation to rectangular form

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

Tags

CCSS.HSN.CN.B.4