5.3 Periodic Motion

Checkpoint 2

  1. What changes if the radius of the circle is \(27\) instead of \(100\)? Give the new formulas for the \(x\)- and \(y\)-coordinates.

  2. What if the radius is \(1\)? Give the new formulas for the \(x\)- and \(y\)-coordinates.

Answers

  1. \(x=27\,\cos(\theta)\) and \(y=27\,\sin(\theta)\).

  2. \(x=\cos(\theta)\) and \(y=\sin(\theta)\).