Trigonometry - Trigonometric Equations

Trigonometry - Trigonometric Equations

TGM Original Questions

Solve each of the following equations.

\(\tan^2 x = 3, 0 \le x \le 2\pi\)
\(\sec^2 x = 2, 0^\circ \le x \le 360^\circ\)

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Answer:(i) \(x = \dfrac{\pi}{3}, \dfrac{2\pi}{3}, \dfrac{4\pi}{3}, \dfrac{5\pi}{3}\); (ii) \(x = 45^\circ, 135^\circ, 225^\circ, 315^\circ\)

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