1. Polar Coordinates!! Conversion from Cartesian to Polar Coordinates

2. Example Problems: ( 4, 150⁰) =>> (x , y) Soh Cah Toa Soh θ = Opp./Hyp. Cah θ = Adj./Hyp. Tan θ = Opp./Adj. x +y=r x 150⁰ 4 y 2 2 2 sin 150 = x 4 X = 4 sin 150 X = 2 Cos 150 = y 4 Y = 4 cos 150 Y = -3.46

3. 2 2 x + y = 4 Soh Cah Toa Soh θ= Opp./Hyp. Cah θ= Adj./Hyp. Tan θ= Opp./Adj. x +y=r 2 r = 4 r = 2 2 2 2 a circle is a constant radius around some point.

4. Soh Cah Toa Soh θ= Opp./Hyp. = y/r Cah θ= Adj./Hyp. = x/r Tan θ= Opp./Adj. = y/x x +y=r 2 2 2 ( x + y ) = 9(y/x) r = 9( tanθ ) r = 9 ( tan θ ) r = 3 tan θ 2 2 2 2 2 2