Trigonometry - Trigonometric Equations

Trigonometry - Trigonometric Equations

TGM Original Questions

Solve each of the following equations.

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

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Answer:(i) x = 0 degrees, 120 degrees, 180 degrees, 240 degrees, 360 degrees; (ii) x = 0 degrees, 36.9 degrees, 143.1 degrees, 180 degrees, 360 degrees

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