How to find three different representations of a polar point

The video tutorial covers the basics of polar coordinates, including their representation and conversion to rectangular form. It explores multiple representations of a point in polar form, emphasizing the concept of infinite solutions by adding or subtracting 2π. The lesson also delves into scalar multiplication and reflection about the origin, explaining how these affect coordinate points. The tutorial concludes with a verification of calculations using a calculator, reinforcing the understanding of polar and rectangular coordinates.

In which quadrant is the angle 11π/6 located?

• 1st Quadrant

• 2nd Quadrant

• 4th Quadrant

• 3rd Quadrant

What is the reference angle for 11π/6?

• π/3

• π/6

• π/2

• π/4

Which of the following is NOT a valid representation of the same point in polar coordinates?

• 11π/6

• π/3

• -13π/6

• 223π/6

What is the formula for converting polar coordinates to rectangular coordinates?

• x = r * sin(θ), y = r * cos(θ)

• x = r * cos(θ), y = r * sin(θ)

• x = θ * cos(r), y = θ * sin(r)

• x = θ * sin(r), y = θ * cos(r)

What happens when you multiply a polar coordinate by a negative scalar?

• The point disappears

• The point moves to a different quadrant

• The point reflects across the origin

• The point remains unchanged

How can you represent a point in polar coordinates using a negative radius?

• By changing the angle to its complement

• By adding 2π to the angle

• By reflecting the point across the origin

• By subtracting 2π from the angle

Which of the following angles has the same reference angle as 11π/6?

• π/4

• 5π/6

• π/2

• 3π/2