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Convert a rectangular equation to polar form

Convert a rectangular equation to polar form

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains how to convert rectangular equations to polar form by substituting X and Y with their polar equivalents, R cosine Theta and R sine Theta, respectively. It discusses solving for R, factoring, and simplifying the equations. The tutorial also compares polar and rectangular forms, demonstrating that they can represent the same geometric shapes.

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5 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the polar form of the X coordinate?

X = R sin(Theta)

X = R cos(Theta)

X = R tan(Theta)

X = R sec(Theta)

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When converting to polar form, what should X be replaced with?

R sin(Theta)

R cos(Theta)

R tan(Theta)

R sec(Theta)

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving for R in a polar equation?

Add the terms

Subtract the terms

Factor out R

Multiply the terms

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What operation is applied to isolate R in the equation r = 1 / (3 cos(Theta) + sin(Theta))?

Division

Subtraction

Addition

Multiplication

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What shape does the polar equation r = 1 / (3 cos(Theta) + sin(Theta)) represent?

Parabola

Circle

Ellipse

Line

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