Mathematics

Mathematics

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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