Thursday, July 21, 2011

Sinusodial curve, wrap paper, cut candle at 45 degree angle at axis, WHAT?

Jackie wraps a sheet of paper tightly around a wax candle whose diameternis two inches, then cuts through them both with a sharp knife making a 45 degree angle with the candle's axis. After unrolling the paper and laying it flat, Jackie sees the wavy curve formed by the cut edge and wonders whether it can be described mathematically. Sketch this curve and show that it is sinusodial. It is very helpful to use radian measure for this problem.

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