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JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

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Application +4 | -1
If p=2sin⁡θ1+cos⁡θ+sin⁡θp=\frac{2 \sin \theta}{1+\cos \theta+\sin \theta}, and q=cos⁡θ1+sin⁡θq=\frac{\cos \theta}{1+\sin \theta}, then
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Correct option: D
q+p=1q+p=1
Option D (q+p=1q+p=1) is correct because the given expressions for pp and qq can be simplified using trigonometric identities to show that their sum equals 1.

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