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JEE MATHEMATICS MCQ: INVERSE TRIGONOMETRY

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If θ=cot⁡−17+cot⁡−18+cot⁡−118\theta = {\cot ^{ - 1}}7 + {\cot ^{ - 1}}8 + {\cot ^{ - 1}}18, then the value of cot⁡ θ\cot \,\theta must be
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Correct option: A
3
Option A (3) is correct because by converting the cotangent inverse to tangent inverse and using the tangent addition formula, we find that cot⁡θ=3\cot \theta = 3.

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