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Trigonometry - Trigonometric Equations

Trigonometry - Trigonometric Equations

TGM Original Questions

Solve each of the following equations.

  1. \(\sin x = \frac{\sqrt{3}}{2}\), \(0 \leq x \leq 2\pi\)
  2. \(\cos x = -\frac{1}{2}\), \(0^\circ \leq x \leq 360^\circ\)

Solution:

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Answer:(i) \(x = \dfrac{\pi}{3}, \dfrac{2\pi}{3}\); (ii) \(x = 120^\circ, 240^\circ\)

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