Trigonometry - Trigonometric Equations

Trigonometry - Trigonometric Equations

TGM Original Questions

Solve each of the following equations.

  1. \(\sin 2x + 2 \sin x - \cos x - 1 = 0\), \(0^\circ \leq x \leq 360^\circ\)
  2. \(\tan 5x = \tan 2x\), \(0^\circ \leq x \leq 360^\circ\)

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Answer:(i) x = 30 degrees, 150 degrees, 180 degrees; (ii) x = 0 degrees, 60 degrees, 120 degrees, 180 degrees, 240 degrees, 300 degrees, 360 degrees

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