A clockwise rotation in radians

A clockwise rotation in radians

Secondary 4
5 marks
TGM Original Questions

The terminal arm of an angle turns clockwise through \(13\pi/6\) radians from the positive \(x\)-axis. Let its signed angle be \(\theta\).

  1. Express \(\theta\) in degrees.[1]
  2. Find the angle \(\phi\) in \(0^\circ\le\phi<360^\circ\) with the same terminal arm, and state its basic angle.[2]
  3. Find the exact values of \(\sin\theta\) and \(\cos\theta\).[2]

Solution:

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Answer:(a) \(-390^\circ\). (b) \(330^\circ\); \(30^\circ\). (c) \(-1/2\), \(\sqrt3/2\).

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