Simplify the expression .

MATHEMATICS · Single correct · CBSE · Mathematics · Introduction to Trigonometry · Introduction to Trigonometry

Problem

Simplify the expression sin⁡x1+cot⁡x\displaystyle \frac{\sin x}{1+\cot x}. (a) sin⁡x+cos⁡xsin⁡x\dfrac{\sin x+\cos x}{\sin x} (b) sin⁡xcos⁡xsin⁡x+cos⁡x\dfrac{\sin x\cos x}{\sin x+\cos x} (c) sin⁡2xsin⁡x+cos⁡x\dfrac{\sin^{2}x}{\sin x+\cos x} (d) sin⁡xsin⁡x+cos⁡x\dfrac{\sin x}{\sin x+\cos x}

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