Trigonometry - Trigonometric Equations

Trigonometry - Trigonometric Equations

TGM Original Questions

Solve each of the following equations.

  1. \(6 \sec^2 x = 14 \operatorname{cosec}^2 x + 7 \sec x \operatorname{cosec}^2 x\), \(0 \le x \le 2\pi\)
  2. \(\frac{2}{\cos^2 2x} - 4 = 3 \tan 2x\), \(0^\circ \le x \le 180^\circ\)

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Answer:(i) x = 1.16, 2.42, 3.86, 5.12 rad; (ii) x = 31.7°, 76.7°, 121.7°, 166.7°

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