Polar Coordinates and Graphs

The video tutorial covers polar functions, focusing on graphing techniques for circles, sine functions, and rose curves in polar coordinates. It explains the properties of these graphs, including cycles and symmetry, and demonstrates how to use graphing calculators to visualize them. The tutorial also provides guidance on sketching and describing polar functions, emphasizing key features like starting points and maximum distances.

What is the value of Theta for a line in a polar coordinate system?

• Pi over 2

• Pi over 3

• Pi over 6

• Pi over 4

What is the starting point for a circle graphed using 4 cosine Theta?

• At the origin

• At 4 units away from the pole

• At 2 units away from the pole

• At 1 unit away from the pole

How many petals does a rose curve have if n is odd and equals 3?

• 8 petals

• 4 petals

• 6 petals

• 3 petals

What happens to the graph of a sine function when the value is negative?

• It opens upwards

• It opens to the right

• It opens to the left

• It opens downwards

What is the maximum distance from the pole for the function r = 3 sin 5 Theta?

• 5 units

• 2 units

• 4 units

• 3 units

How many petals will a rose curve have if n is even and equals 4?

• 12 petals

• 8 petals

• 6 petals

• 4 petals

What is the general formula for a circle in polar coordinates?

• r = a sin Theta

• r = a cot Theta

• r = a cos Theta

• r = a tan Theta

Which direction does a positive cosine function open in polar coordinates?

• Up

• Right

• Left

• Down

What is the cycle length for an odd rose curve?

• 4 Pi

• 2 Pi

• Pi

• 3 Pi

What is the shape of the graph when r equals a constant value?

• Line

• Circle

• Rose

• Parabola