Convert point from polar to rectangular

The video tutorial explains how to convert polar coordinates to Cartesian coordinates. It begins by introducing the concept of polar coordinates and the need to convert them to Cartesian form. The instructor provides the formulas for conversion, emphasizing the importance of understanding the unit circle. An example is worked through, demonstrating the conversion process step-by-step, resulting in a Cartesian point. The tutorial highlights the significance of practice and familiarity with trigonometric concepts.

What are the formulas used to convert polar coordinates to Cartesian coordinates?

• X = r * cos(Theta), Y = r * sin(Theta)

• X = r * sec(Theta), Y = r * csc(Theta)

• X = r * sin(Theta), Y = r * cos(Theta)

• X = r * tan(Theta), Y = r * cot(Theta)

Why is the unit circle important in converting polar coordinates to Cartesian coordinates?

• It is not relevant to the conversion process.

• It helps in finding the radius.

• It provides the values for sine and cosine functions.

• It is used to determine the angle Theta.

What is the cosine of π/6?

• 0

• sqrt 3 / 2

• 1

• 1/2

If r = 2 and Theta = π/6, what is the Cartesian coordinate for X?

• 0

• 2

• 1

• sqrt 3

What is the Cartesian coordinate for Y when r = 2 and Theta = π/6?

• 1

• sqrt 3

• 0

• 2