Polar Numbers

What complex number is represented by the graph?

• -3-i
• -3+i
• 1+3i
• 1-3i

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

2 + 3i

• √5, Quadrant 1

• √13, Quadrant 1

• √11, Quadrant 2

• √11, Quadrant 3

Express the complex number in polar form.

-2 + 5i

• √7cis68.2^o

• √7cis111.8^o

• √29cis68.2^o

• √29cis111.8^o

Express the polar number in rectangular form.

4cisπ /3

• 2 + 2√3 i

• 2 + √3 i

• 2 - 2√3 i

• -2 + 2√3 i

Find (5cis2π/3)⋅(2cisπ/3). Express your answer in rectangular form.

• -10

• 10

• -10i

• 10i

Find (√5cis130^o)⋅(√45cis15^o). Express your answer in polar form.

• 50cis145^o

• 15cis145^o

• 81cis100^o

• All Options are Correct

Convert the polar coordinates to rectangular form.
(6, 2π/3)

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

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

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

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