Find the number of solutions of the equations; \(\displaystyle\left | \cot x \right |=\cot x+\fr...

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Find the number of solutions of the equations;
\(\displaystyle\left | \cot x \right |=\cot x+\frac{1}{\sin x}\) ,where \(x\in \left [ 0,2\pi \right ]\)
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