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Section Assignment # 1- Due Tuesday 1/28

  1. Use half of a sheet of paper to make a unit circle displaying the values of \( \sin \theta\) and \(\cos \theta\) for integer multiples of \( \frac{\pi}{4}\) and \(\frac{\pi}{6}\). (That is for 0, \(\frac{\pi}{6},\, \frac{\pi}{4},\,\frac{\pi}{3},\, \frac{\pi}{2},\, \frac{2\pi}{3},\dots\).) If you wish you can also make a table with these values. Be sure to draw at least two triangles on your unit circle so you can see how the lengths of the sides of a right triangle relate to the sine and cosine of its angles.

  2. Is cosine an even or odd function, or neither? Mathematically justify your response using the definition of even and/or odd.