Polar Coordinates - Precal

Find the rectangular coordinates of each polar point. (-3, π/2)

• (0,-3)
• (3,0)
• (0,3)
• (0,1)

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

• (3,π)
• (3,0)
• (3,π/2)
• (3,-3π/2)

Which point represents (3, 3π/4)

• F
• E
• B
• A

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.HSG.C.B.5

CCSS.HSG.SRT.C.8

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
 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

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

Convert the polar coordinates to rectangular form

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

Tags

CCSS.HSN.CN.B.4