Converting and Solving Polar Systems

Convert the polar coordinates to rectangular form

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

Find the rectangular coordinates of each polar point. (4, 3π/2)

• (4,4)

• (4,0)

• (0,-4)

• (0,1)

Convert from polar coordinates, (6, 5π/4) to rectangular coordinates.

• (-3√2, -3√2)

• (3√2, 3√2)

• (6.0, 0.4)

• (-6.0, -0.4)

Convert from polar coordinates, (20, 11π/6) to rectangular coordinates.

• (-10√3, 10)

• (10√3, -10)

• (10, -10√3)

• (10√2, -10)

Convert the polar coordinates to rectangular coordinates.

• 
• 
• 
• 

Find polar coordinates for the point:
(√3 , 1)

• (2, π/6)
• (-2, -π/6)
• (1,0)
• (4π,-2)

Convert from rectangular to polar coordinates. (-4, 4)

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

Which point represents (-4, π/2)

• D
• C
• B
• A

How do you write an ordered pair in polar form?

• (x,y)

• (θ, r)

• (r,θ)

• (r,y)

When converting between rectangular and polar coordinates:

y = ?

• rcosθ

• rsinθ

• x² + y²

• y/x, x ≠ 0