Trigonometry - Trigonometric Equations

Trigonometry - Trigonometric Equations

TGM Original Questions

Solve each of the following equations.

  1. \(\tan x + 2 \sec^{2} x - 5 = 0\), \(0 \le x \le 2 \pi\)
  2. \(6 \cot^{2} x = 14 + 7 \operatorname{cosec} x\), \(0 \le x \le 2 \pi\)

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Answer:(i) \(x = \dfrac{\pi}{4}, \dfrac{5\pi}{4}, 2.16, 5.30\) rad; (ii) \(x = 0.412, 2.73, 3.99, 5.44\) rad

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