Convert polar coordinates to rectangular coordinates

The video tutorial explains how to graph points using polar coordinates, focusing on converting these coordinates into X and Y coordinates. The teacher demonstrates the process of calculating the X and Y coordinates using trigonometric functions, specifically cosine and sine, and verifies the results by checking the quadrant placement. The lesson emphasizes understanding the relationship between polar and Cartesian coordinates, ensuring students grasp the concept of distance and angle in graphing.

What is the initial step in graphing a point using polar coordinates?

• Calculating the slope of the line

• Determining the distance from the center and the angle

• Identifying the X and Y coordinates

• Finding the midpoint of the line

Which trigonometric function is used to find the X coordinate in Cartesian coordinates?

• Sine

• Secant

• Tangent

• Cosine

In which quadrant is the angle -π/3 located?

• First Quadrant

• Second Quadrant

• Third Quadrant

• Fourth Quadrant

What is the Y coordinate when converting the polar coordinates with angle -π/3 and radius 3?

• 3√3/2

• -3√3/2

• 3/2

• -3/2

Why is it important to verify the position of the calculated Cartesian coordinates?

• To check if they form a straight line

• To confirm they are equidistant from the origin

• To determine if they are parallel to the X-axis

• To ensure they lie in the correct quadrant