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

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Polar coordinates!!

  • 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