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JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

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Application +4 | -1
The value of (1+tan⁡11∘)(1+tan⁡34∘)(1+tan⁡17∘)(1+tan⁡28∘)\frac{\left(1+\tan 11^{\circ}\right)\left(1+\tan 34^{\circ}\right)}{\left(1+\tan 17^{\circ}\right)\left(1+\tan 28^{\circ}\right)} is equal to
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Correct option: A
1
Option A (1) is correct because the expression simplifies to 1 using the trigonometric identity (1+tanA)(1+tanB)=2 when A+B=45 degrees.

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