Converting Polar to Rectangular Equations

Converting Polar to Rectangular Equations

Assessment

Interactive Video

Mathematics

9th - 12th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains the conversion between polar and rectangular coordinate systems. It covers the mathematical relationships and formulas needed for conversion, such as the Pythagorean theorem and trigonometric identities. Through four examples, the tutorial demonstrates how to convert polar equations to rectangular form, including handling angles and using trigonometric functions like sine, cosine, and secant.

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28 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the relationship between x, y, and R in polar coordinates?

x^2 + y^2 = R^2

x^2 - y^2 = R^2

x^2 - y^2 = 2R

x^2 + y^2 = 2R

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you express R in terms of x and y?

R = sqrt(x^2 - y^2)

R = x - y

R = sqrt(x^2 + y^2)

R = x + y

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the tangent of theta in terms of x and y?

tan(theta) = x^2/y^2

tan(theta) = y^2/x^2

tan(theta) = y/x

tan(theta) = x/y

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you express x in terms of R and theta?

x = R * sin(theta)

x = R * cos(theta)

x = R / sin(theta)

x = R / cos(theta)

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula for y in terms of R and theta?

y = R / cos(theta)

y = R / sin(theta)

y = R * cos(theta)

y = R * sin(theta)

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the example R = 8 sin(theta), what is the first step to convert to rectangular form?

Subtract R from both sides

Add R to both sides

Multiply both sides by R

Divide both sides by R

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does R sin(theta) equal in rectangular coordinates?

y

x

R

theta

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