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JEE MATHEMATICS MCQ: INVERSE TRIGONOMETRY

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Application +4 | -1
If θ=cot⁡−17+cot⁡−18+cot⁡−118\theta=\cot ^{-1} 7+\cot ^{-1} 8+\cot ^{-1} 18, then cot⁡θ\cot \theta is equal to
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Correct option: B
3
Option B (3) is correct because by applying the formula for the sum of inverse cotangents, the expression simplifies to cot⁡−1(3)\cot^{-1}(3), thus cot⁡θ=3\cot \theta = 3.

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