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JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

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Application +4 | -1
The value of 3+cot⁡76∘cot⁡16∘cot⁡76∘+cot⁡16∘\frac{3+\cot 76^{\circ} \cot 16^{\circ}}{\cot 76^{\circ}+\cot 16^{\circ}} is
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Correct option: D
cot⁡44∘\cot 44^{\circ}
Option D (cot⁡44∘\cot 44^{\circ}) is correct because the expression simplifies to tan⁡46∘\tan 46^{\circ}, which is equal to cot⁡44∘\cot 44^{\circ}, using trigonometric identities.

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