Trigonometry - Trigonometric Equations

Trigonometry - Trigonometric Equations

TGM Original Questions

Solve each of the following equations.

  1. \(2 \cos^{2} x + 5 \sin x + 1 = 0\), \(0 \le x \le 7\)
  2. \(\cos^{2} x - 4 \cos x = 3 \sin^{2} x\), \(0^{\circ} \le x \le 360^{\circ}\)

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Answer:(i) \(x = \dfrac{7\pi}{6}, \dfrac{11\pi}{6}\); (ii) \(x = 120^\circ, 240^\circ\)

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