Convert Rectangular Coordinate into Polar Complex

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

• (4√2, π/4)

• (4√2, 3π/4)

• (4√2, -π/4)

• (-4√2, -7π/4)

Convert the rectangular coordinates to polar form

• (√8 , 7π/6)

• (4 , 3π/4)

• (√8 , π/6)

• (8 , 7π/6)

Convert the rectangular point into polar form:

Find r
x=12
y=5

• 12

• 12.5

• 13

• 15

A complex number is represented by a point in the complex plane. The complex number has the rectangular coordinates (-3, 3). Which of the following is one way to express the complex number using its polar coordinates (r, θ)?

• (A) (3√2 cos(π/4) + i(3√2 sin(π/4)))

• (B) (3cos(π/4) + i(3sin(π/4)))

• (C) (3√2 cos(3π/4) + i(3√2 sin(3π/4))

• (D) (3cos(3π/4) + i(3sin(3π/4))

Convert the point (−3, −3) from rectangular to polar form.

A complex number is represented by a point in the complex plane. The complex number has the rectangular coordinates (1/2, -√3/2). Which of the following is one way to express the complex number using its polar coordinates (r, θ)?

• (cos(-π/6) + i(sin(-π/6))

• (cos(π/6) + i(sin(π/6))

• (cos(5π/3) + i(sin(5π/3))

• (2cos(5π/3) + i(2sin(5π/3))

When converting between rectangular and polar coordinates:

y = ?

• rcosθ

• rsinθ

• x² + y²

• y/x, x ≠ 0

Convert the rectangular coordinate (0, -3) to polar coordinates.

• (3, -270^o)

• (3, 270^o)

• (-3, 270^o)

• Not Possible

Converting between rectangular and polar coordinates:
x = ?

• rcosθ

• rsinθ

• x² + y²

• y/x, x ≠ 0