Polar Graph: a graph of the set of all points (r, that satisfy a given polar equation. θ) The two most basic polar equations are: r = c a circle of radius c = a line through the origin that forms an angle with the polar axis θ θ Examples. 1) Sketch r = 3. 2) Sketch r = 3) Sketch = 30°. 4) Sketch = 45°. –2. θ θ – If you superimpose a Rectangular Coordinate system over a Coordinate system: y so r = P(x, y) so x so polar axis Convert from Rectangular to Polar Coordinates. 1) ( 3, 3) 2) (2, 2) 3) (0, -2) 4) ( 4, 4) – Convert from to Rectangular Coordinates. 1) (-2, 2) (3, 135°) 3) ( -5, 240°) 4) (4, ) π) Page 7 Convert the Polar Equations to Rectangular form. 1) r = 1 2) = 45° 3) 4) θ
Polar Graph: a graph of the set of all points (r, θ) that satisfy a given polar equation. The two most basic polar equations are: r = c a circle of radius c θ = a line through the origin that forms an angle θ with the polar axis Examples. 1) Sketch r = 3. 2) Sketch r = –2. 3) Sketch θ = 30°. 4) Sketch θ = – 45°. If you superimpose a Rectangular Coordinate system over a Coordinate system: y so r = P(x, y) so x so polar axis Convert from Rectangular to Polar Coordinates. 1) ( 3, 3) 2) (2, 2) 3) (0, -2) 4) ( – 4, 4) Convert from to Rectangular Coordinates. 1) (-2, π) 2) (3, 135°) 3) ( -5, 240°) 4) (4, ) Page 7 Convert the Polar Equations to Rectangular form. 1) r = 1 2) θ = 45° 3) 4)
unit_15_polar_assignment_sheet_2012.docx