Converting Polar to Rectangular Equations

This video tutorial explains how to convert polar equations into rectangular equations. It begins with an introduction to the differences between polar and rectangular equations, followed by a series of examples demonstrating the conversion process. The tutorial covers basic conversions and progresses to more advanced techniques, providing a comprehensive understanding of the topic.

What is the formula for converting x and y coordinates into polar coordinates r?

• x + y = r

• x^2 + y^2 = r^2

• x/y = r

• x^2 - y^2 = r

If r = 7 in a polar equation, what is the corresponding rectangular equation?

• x^2 + y^2 = 28

• x^2 + y^2 = 14

• x^2 + y^2 = 7

• x^2 + y^2 = 49

What is the rectangular form when theta equals pi over four?

• y = 3x

• y = x/2

• y = 2x

• y = x

For theta equal to zero degrees, what is the value of y in the rectangular equation?

• y = -1

• y = x

• y = 1

• y = 0

What happens to the rectangular equation when theta is pi over 2?

• y = 1

• x = 1

• y = 0

• x = 0

Convert the polar equation r sine theta = 5 to a rectangular equation.

• y = 25

• y = 5

• x = 25

• x = 5

If r = 3 cosecant theta, what is the rectangular form of this equation?

• x = 3

• y = 1/3

• y = 3

• x = 1/3

How do you convert r = 4 secant theta to a rectangular equation?

• x = 4

• y = 16

• y = 4

• x = 16

What is the rectangular form of the equation r = 3 cosine theta + 5 sine theta?

• x^2 + y^2 = 8x

• x^2 + y^2 = 3x + 5y

• x^2 + y^2 = 5x + 3y

• x^2 + y^2 = 8y

Convert the polar equation r squared sine two theta = 8 into its rectangular form.

• x^2 + y^2 = 8

• x^2 + y^2 = 4

• x*y = 8

• y*x = 4