Finding the angle when α and the quadrant are given

Finding the angle when α and the quadrant are given

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

  1. \(50^\circ\), \(3^{rd}\) quadrant, \(0^\circ < \theta < 360^\circ\)
  1. \(\frac{\pi}{5}\), \(2^{nd}\) quadrant, \({0 < \theta < 2\pi}\)

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Answer:(a) \(\theta=230^\circ\), (b) \(\theta=\frac{4\pi}{5}\)

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