Learn to determine three different representations of a polar point

The video tutorial explains graphing points in polar coordinates, focusing on understanding the radius and angle. It covers finding coterminal angles and negative angles, and demonstrates how to represent points in different ways. The tutorial also explains the conversion of polar coordinates to Cartesian coordinates using trigonometric functions, emphasizing the effect of negation on coordinates.

What does the 'r' in polar coordinates represent?

• The angle from the x-axis

• The distance from the origin

• The slope of the line

• The y-coordinate

How can you find a negative angle that is coterminal with a given angle?

• Add 2π to the angle

• Subtract the angle from 2π

• Divide the angle by 2

• Multiply the angle by -1

What is the negative angle equivalent of π/6?

• -7π/6

• -11π/6

• -5π/6

• -π/6

What happens to the coordinates when you negate the radius in polar coordinates?

• The point moves to the opposite quadrant

• The point remains unchanged

• The point reflects over the origin

• The point doubles in distance from the origin

How do you convert polar coordinates to Cartesian coordinates?

• Use the formulas x = r sin(θ) and y = r cos(θ)

• Multiply r by θ

• Use the formulas x = r cos(θ) and y = r sin(θ)

• Divide r by θ