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JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

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Analyzing +4 | -1
The value of the expression 1−sin⁡2  y1+cos⁡  y+1+cos⁡  ysin⁡  y−sin⁡  y1−cos⁡  y1 - \frac{{{{\sin }^2}\,\,y}}{{1 + \cos \,\,y}} + \frac{{1 + \cos \,\,y}}{{\sin \,\,y}} - \frac{{\sin \,\,y}}{{1 - \cos \,\,y}} is equal to
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Correct option: D
cos⁡  y\cos \,\,y
Option D (cos y) is correct because the expression simplifies to cos y after applying trigonometric identities and algebraic manipulation.

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