11'3 Polar Coordinates

1
11.3 Polar Coordinates

• Math 6B
• Calculus II

2
Polar Coordinates

• Plotting a point in polar coordinates.
• Negative values of r and q

3
Conversions

• Converting from rectangular coordinates to polar
  coordinates.
• Converting from polar coordinates to rectangular
  coordinates.
• Rewriting rectangular and polar equations.

4
Polar Curves

• Graphing Elementary Equations
• Symmetry
• Graphing Polar Equations

5
Tangents to Polar Curves

• Let x r cosq and y r sinq
• If we want to find the slope of the line tangent
  to the curve we need to find dy/dx.

6
Tangents to Polar Curves

• If we find dy/dq and dx/dq we get