Convert Rectangular Coordinate into Polar Complex

Convert Rectangular Coordinate into Polar Complex

11th Grade

15 Qs

quiz-placeholder

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Convert Rectangular Coordinate into Polar Complex

Convert Rectangular Coordinate into Polar Complex

Assessment

Quiz

Mathematics

11th Grade

Hard

Created by

Anthony Clark

FREE Resource

15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

(4√2, π/4)

(4√2, 3π/4)

(4√2, -π/4)

(-4√2, -7π/4)

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Convert the rectangular coordinates to polar form

(√8 , 7π/6)

(4 , 3π/4)

(√8 , π/6)

(8 , 7π/6)

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Convert the rectangular point into polar form:

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Find r
x=12
y=5

12

12.5

13

15

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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))

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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))

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