Find the number of roots of the equation in the interval .

MATHEMATICS · Numerical · A Level · Mathematics · Trigonometry · Trigonometry

Problem

Find the number of roots of the equation 16sec⁡3θ−12tan⁡2θ−4sec⁡θ=916\sec^3\theta-12\tan^2\theta-4\sec\theta=9 in the interval (−π,π)(-\pi,\pi).

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