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JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

1 Easy
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Application +4 | -1
If 0<θ<π/20 < \theta<\pi / 2, and f(θ)=(1+cot⁡θ−cosec⁡θ)f(\theta)=(1+\cot \theta-\operatorname{cosec} \theta) (1+tan⁡θ+sec⁡θ)(1+\tan \theta+\sec \theta), then f(π/4)f(\pi / 4) is equal to
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Correct option: C
2
Option C (2) is correct because the expression simplifies to a constant value of 2 after applying trigonometric identities.

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