Write a point in rectangular form from polar form

The video tutorial explains how to convert polar coordinates to rectangular coordinates using exact forms. It begins with an introduction to the importance of exact forms, followed by the formulas for conversion. The tutorial then demonstrates how to use the unit circle to evaluate trigonometric functions, specifically focusing on cosine and sine. Finally, it shows how to calculate the coordinates without using decimals and suggests verifying the results with a calculator.

What is the primary focus when converting polar coordinates to rectangular coordinates?

• Using decimal values

• Using exact values

• Using graphical methods

• Using approximate values

Which formula is used to find the x-coordinate in rectangular form?

• x = r / sin(θ)

• x = r / cos(θ)

• x = r * cos(θ)

• x = r * sin(θ)

What is the y-coordinate formula in rectangular form?

• y = r * cos(θ)

• y = r / cos(θ)

• y = r / sin(θ)

• y = r * sin(θ)

What is the cosine value of 2π/3 on the unit circle?

• -sqrt(3)/2

• -1/2

• 1/2

• sqrt(3)/2

What is the sine value of 2π/3 on the unit circle?

• -1/2

• sqrt(3)/2

• 1/2

• -sqrt(3)/2