Learn to write an equation in polar form to rectangular form

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.

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)

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

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

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

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