Learn to write an equation in polar form to rectangular form

The video tutorial covers the conversion of polar coordinates to rectangular form, emphasizing the importance of applying operations equally on both sides of an equation. It introduces the conversion formulas for sine and cosine, and demonstrates how to use the Pythagorean theorem to express equations in terms of x and y. The tutorial concludes with a simplified solution acceptable for the class level.

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 sec(Theta)

• y = R tan(Theta)

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

• Subtract R

• Add R

• Divide by R

• Multiply by R

What is the rectangular form of the equation R-squared = 3R sin(Theta)?

• x^2 + y^2 = 3x

• x^2 + y^2 = 3y

• x^2 + y^2 = 3R

• x^2 + y^2 = 3Theta

Which theorem is used to express R-squared in terms of x and y?

• Fermat's Last Theorem

• Fundamental Theorem of Calculus

• Pythagorean Theorem

• Binomial Theorem

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

• x^2 + y^2 = 0

• x^2 + y^2 = 1

• x^2 + y^2 = 2

• x^2 + y^2 = 3