SOLUTION: Find the Cartesian equation of r = asin3θ

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Question 1119696: Find the Cartesian equation of r = asin3θ
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!


We use the identity for sin(3q):





Then use this picture:

 

Note: When trig ratios are involved, leave r as it is, and
wait until last to substitute for r:









Multiply through by r³



Finally substitute for r:

          
          
          

Substituting in



We get



Edwin
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