Trigonometry - Trigonometric Equations

Trigonometry - Trigonometric Equations

TGM Original Questions

Solve each of the following equations.

  1. \(\cos(3x + 2) = 0.5\), \(0 \leq x \leq \pi\)
  2. \(\sec(2x + 30^\circ) = 3.086\), \(0^\circ \leq x \leq 360^\circ\)

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Answer:(i) \(x = \dfrac{5\pi}{9} - \dfrac{2}{3}, \dfrac{7\pi}{9} - \dfrac{2}{3}\); (ii) \(x = 20.5^\circ, 129.5^\circ, 200.5^\circ, 309.5^\circ\)

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