The number of values of $x \in \left[ {0,\,2\;\pi } \right]$ that satisfy $\cot \,\,x - {\rm{cosec\;}}\,\,x = 2\sin \,\,x$ is

JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Analyzing +4 | -1

The number of values of

x \in \left[ {0,\,2\;\pi } \right]

that satisfy

\cot \,\,x - \mathrm{cosec\;}\,\,x = 2\sin \,\,x

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Correct option: B

\mathrm{2}

Option D (0) is correct because the solutions obtained from solving the equation are extraneous solutions that make the original equation undefined.

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