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    i reaaally dont see a pattern in sketching these, because some don't have n number of loops. can someone help.
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    My advice is to plot the graph of y = sin(nx) or y = cos(nx) and then consider where maxima, minima, and zero points lie. Then you can intuitively work from 0 -> 2Pi radians on your polar sketch by transferring it over.

    e.g. if you know that sin(nx) peaks at Pi radians and then has a zero value at 2Pi radians, then you'd look at your polar sketch axes, put points at 2Pi and Pi with appropriate values of r, and join the dots.
 
 
 
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