Section Assignment # 1- Due Tuesday 1/28
- 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.
- Is cosine an even or odd function, or neither? Mathematically justify your response using the definition of even and/or odd.
Recall, a function is even if \(f(-x)=f(x)\) for all \(x\) in its domain, and odd if \(f(-x)=-f(x)\) for all \(x\) in its domain. Since \(cos(-x)=cos(x)\) we conclude that cosine is an even function. You may have suspected this since you should be familiar with the general shape of the cosine graph, which is symmetric about the y-axis.