Final Review PreCalculus B - Polar Topics

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

Convert the polar equation to rectangular form

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

Tags

CCSS.HSN.CN.B.4

Find three additional representations of the given polar coordinates using -2π<θ<2π. Choose all that apply.

• (3,-5π/6)

• (-3,π/6)

• (-3,-11π/6)

• (3,5π/6)

• (-3,-7π/6)

Tags

CCSS.HSN.CN.B.4

Find the indicated power using DeMoivre's Theorem 

• 256
• 4096i
• 4096
• -4096

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

Convert from polar coordinates,  (5, 50°) to rectangular coordinates.

• (-1.3, -3.8)
• (3.2, 3.8)
• (4.8, -1.3)
• (3.8, 3.2)

Tags

CCSS.HSN.CN.B.4

Convert the rectangular equation to a polar equation. 
x²+y²=25

• r=5
• r=5sinΘ
• r=5cscΘ
• r=25

Tags

CCSS.HSN.CN.B.4

Convert the rectangular equation to a polar equation. 
y=7

• r=7
• r=7sinΘ
• r=7cscΘ
• r=49

What is the function of the graph?

• r=3
• r=3sinΘ
• r=3sinΘ+3cosΘ
• r=3cosΘ