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JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

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Application +4 | -1
The value of tan⁡  1∘  tan⁡  2∘  tan⁡  3∘ …tan⁡  89∘\tan \,\,1^\circ \,\,\tan \,\,2^\circ \,\,\tan \,\,3^\circ \, \ldots \tan \,\,89^\circ is equal to
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Correct option: D
1\mathrm{1}
Option D (1) is correct because the product of tan⁡θ\tan \theta and tan⁡(90°−θ)\tan (90° - \theta) is 1, and tan⁡45°=1\tan 45° = 1.

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