Checking inverse trigonometric answers

Checking inverse trigonometric answers

Secondary 4
4 marks
TGM Original Questions

All inverse trigonometric values below are principal values.

  1. Evaluate \(\sin^{-1}(\sin210^\circ)\) in degrees. Explain why the answer is not \(210^\circ\).[2]
  2. Evaluate \(\cos^{-1}(\cos(-120^\circ))\) in degrees, stating the range used.[2]

Solution:

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Answer:(a) \(-30^\circ\). (b) \(120^\circ\).

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