Trigonometry - Trigonometric Equations
Trigonometry - Trigonometric Equations
TGM Original Questions
Solve each of the following equations.
- \(\operatorname{cosec}(4x + 1) = 2, \pi \leq x \leq 2\pi\)
- \(\sec\left(2x - \frac{3}{2}\right) = -\frac{3}{2}, -\pi \leq x \leq \pi\)
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Answer:(i) \(x = \dfrac{29\pi}{24} - \dfrac{1}{4}, \dfrac{37\pi}{24} - \dfrac{1}{4}, \dfrac{41\pi}{24} - \dfrac{1}{4}, \dfrac{49\pi}{24} - \dfrac{1}{4}\); (ii) \(x = -1.24, -0.400, 1.90, 2.74\)
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