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JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

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Analyzing +4 | -1
If θ=2sin⁡x1+sin⁡x+cos⁡x\theta = \frac{{2\sin x}}{{1 + \sin x + \cos x}}, then 1+sin⁡x−cos⁡x1+sin⁡x\frac{{1 + \sin x - \cos x}}{{1 + \sin x}} equals
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Correct option: C
θ\theta
Option C (θ\theta) is correct because by using trigonometric identities, the expression can be simplified to be equal to the given value of θ\theta.

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