1. Let \(\theta\) be an angle between \(\pi\) and \(\frac{3\pi}{2}\) such that \(\cos(\theta) = -1/9\). Assume that \(\cos(\theta/2) < 0\). Then if the terminal point of \(\frac{\theta}{2} = (a_1, a_2)\), enter \(a_1\) and \(a_2\) in that order.

2. Find the 3 smallest positive x-intercepts of the graph of \(y = \cos(12x) + \cos(14x)\)and list them in increasing order.

3. Calculate \(\arccos \sqrt{\cfrac{1+\sqrt{\cfrac{1-\sqrt{\cfrac{1-\sqrt{\cfrac{1+\cfrac{\sqrt{3}}{2}}{2}}}{2}}}{2}}}{2}}\). As usual, the output of an inverse trig function should be in radians.

I could use a little help on these problems, thank you!!

Guest Feb 19, 2020