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. \(25^\circ\), \(4^{th}\) quadrant, \(0^\circ < \theta < 360^\circ\)
2. \(\frac{2}{7}\pi\), \(3^{rd}\) quadrant, \( 0 < \theta < 2\pi\)