Trigonometric Equations: Finding Angle Values in the \(0^\circ\) to \(180^\circ\) Range

Trigonometric Equations: Finding Angle Values in the \(0^\circ\) to \(180^\circ\) Range

Secondary 3

Given that \(0{}^\circ <x<180{}^\circ \), find the possible values of \(x\) for each of the following, correcting your answer to \(1\) decimal place.

  1. \(\cos x=-0.811\),
  2. \(\sin x=0.215\).

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Answer:(i) \(x=144.2^\circ\) (ii) \(x=12.4^\circ\) or \(x=167.6^\circ\)

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