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JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

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Application +4 | -1
If tan⁡  θ=x−14x\tan \,\,\theta = x - \frac{1}{{4x}}, then sec⁡  θ−tan⁡  θ\sec \,\,\theta - \tan \,\,\theta is equal to
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Correct option: A
− 2x,  12x- \,2x,\,\,\frac{1}{{2x}}
Option A ( − 2x, 12x\ - \,2x,\,\frac{{1}}{{2x}}) is correct because it is derived by using trigonometric identities and solving for sec⁡ θ−tan⁡ θ\sec \,\theta - \tan \,\theta.

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