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# Polar coordinates!!

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### Polar coordinates!!

1. 1. Polar Coordinates!!<br />Conversion from Cartesian to Polar Coordinates<br />
2. 2. Example Problems:<br /> ( 4, 150⁰) =>> (x , y) <br />Soh Cah Toa<br />Soh θ = Opp./Hyp.<br />Cah θ = Adj./Hyp.<br /> Tan θ = Opp./Adj.<br /> x +y=r<br />x<br />150⁰<br />4<br />y<br />2<br />2<br />2<br /> sin 150 = x<br /> 4<br />X = 4 sin 150<br />X = 2<br />Cos 150 = y<br /> 4<br />Y = 4 cos 150<br />Y = -3.46<br />
3. 3. 2<br />2<br />x + y = 4 Soh Cah Toa<br />Soh θ= Opp./Hyp.<br />Cah θ= Adj./Hyp.<br />Tan θ= Opp./Adj. <br /> x +y=r<br />2<br />r = 4<br />r = 2<br />2<br />2<br />2<br />a circle is a constant radius around some point. <br />
4. 4. Soh Cah Toa<br />Soh θ= Opp./Hyp. = y/r<br />Cah θ= Adj./Hyp. = x/r<br />Tan θ= Opp./Adj. = y/x <br /> x +y=r<br />2<br />2<br />2<br />( x + y ) = 9(y/x)<br />r = 9( tanθ )<br />r = 9 ( tan θ )<br />r = 3 tan θ<br />2<br />2<br />2<br />2<br />2<br />2<br />
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