Polar and rectangular coordinates

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

• (3,π)
• (3,0)
• (3,π/2)
• (3,-3π/2)

Convert the rectangular coordinates to polar coordinates
(6√3, 6)

• (12, π/6)
• (6, 7π/6)
• (6, π/6)
• (12, 7π/6)

Convert the polar coordinates to rectangular form

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

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

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

When converting between rectangular and polar coordinates:

y = ?

• rcosθ

• rsinθ

• x² + y²

• y/x, x ≠ 0

Which point represents (5, π)

• F
• E
• B
• A

Convert from a rectangular to a polar equation:

• r = 6 cos 𝛳

• r = 6 cos 𝛳

• r = 6 sin 𝛳

• r = -6 sin 𝛳

Convert the polar equation to rectangular form

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

Find the absolute value of the complex number. Also state what quadrant the point would land in.
2 + 3i

• √13,  Quadrant 1
• √5,  Quadrant 1
• √11, Quadrant 2
• √11, Quadrant 3

Express the complex number in polar form.
-2 + 5i

• 5.39 ( cos 1.95 + i sin 1.95)
• 5.39 ( cos 65.06 + i sin 65.06)
• 2.65 ( cos 1.95 - i sin 1.95 )
• 2.65 ( cos 65. 06 - i sin 65.06 )