Trigonometry - Exact Trigonometric Values and the Unit Circle

Given the basic angle, \(\alpha\), and the quadrant in which \(\theta\) lies, find the value of \(\theta\).

1. \(70^\circ\), \(3^{rd}\) quadrant, \(-360^\circ < \theta < 0^\circ\)
2. \(\frac{1}{3}\pi\), \(2^{nd}\) quadrant, \(-4\pi < \theta < -2\pi\)