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Learn to write an equation in polar form to rectangular form

Learn to write an equation in polar form to rectangular form

Assessment

Interactive Video

Mathematics

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains the conversion of polar coordinates to rectangular form. It begins with a reminder of the conversion formulas, focusing on expressing equations in terms of x and y instead of r and theta. The instructor emphasizes the importance of applying operations equally on both sides of an equation. The tutorial then explores the concept of R-squared and its relation to the Pythagorean theorem, concluding with an acceptance of the derived solution.

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5 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the equation for y in terms of R and Theta in polar coordinates?

y = R cos(Theta)

y = R sin(Theta)

y = R tan(Theta)

y = R sec(Theta)

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When converting polar equations to rectangular form, what must be done to both sides of the equation?

Divide both sides by R

Multiply both sides by R

Subtract R from both sides

Add R to both sides

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the rectangular form of the equation R^2 = 3R sin(Theta)?

x^2 + y^2 = 3R

x^2 + y^2 = 3Theta

x^2 + y^2 = 3y

x^2 + y^2 = 3x

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which theorem is used to relate x^2 and y^2 in the conversion process?

Pythagorean Theorem

Fundamental Theorem of Calculus

Remainder Theorem

Binomial Theorem

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final accepted form of the equation in this class?

x^2 + y^2 = 3

x^2 + y^2 = 3R

x^2 + y^2 = 3y

x^2 + y^2 = 3x

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