How to convert a polar point into rectangular coordinate

The video tutorial explains polar coordinates, focusing on the radius and angle (theta). It demonstrates how to convert polar coordinates to rectangular coordinates (X and Y) using both graphical methods and mathematical formulas. The unit circle is introduced as a tool for understanding angles and coordinates. The tutorial provides a step-by-step example of using formulas to convert polar coordinates to rectangular coordinates, emphasizing the use of cosine and sine functions.

What do the radius and angle represent in polar coordinates?

• Radius represents distance from origin, angle represents direction

• Radius represents Y-coordinate, angle represents X-coordinate

• Radius represents direction, angle represents distance from origin

• Radius represents X-coordinate, angle represents Y-coordinate

What is the X and Y coordinate on the unit circle at π/2?

• (-1, 0)

• (0, -1)

• (1, 0)

• (0, 1)

Which formula is used to find the X coordinate in rectangular coordinates?

• X = r * cos(Theta)

• X = Theta * cos(r)

• X = Theta * sin(r)

• X = r * sin(Theta)

What is the value of cosine at π/2?

• 1

• 0

• -1

• Undefined

How do you calculate the Y coordinate using polar coordinates?

• Y = Theta * sin(r)

• Y = Theta * cos(r)

• Y = r * cos(Theta)

• Y = r * sin(Theta)