Problem

Problem

The value of expression sin⁡3x1+cos⁡x+cos⁡3x1−sin⁡x\frac{\sin^3 x}{1 + \cos x} + \frac{\cos^3 x}{1 - \sin x} is/are a. 2cos⁡[π4−x]\sqrt{2} \cos \left[ \frac{\pi}{4} - x \right] b. 2cos⁡[π4+x]\sqrt{2} \cos \left[ \frac{\pi}{4} + x \right] c. 2sin⁡[π4−x]\sqrt{2} \sin \left[ \frac{\pi}{4} - x \right] d. None of these

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