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JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Application +4 | -1
If tan⁡  (cot⁡  x)=cot⁡  (tan⁡  x)\tan \,\,\left( {\cot \,\,x} \right) = \cot \,\,\left( {\tan \,\,x} \right), then sin⁡  2x\sin \,\,2x is equal to
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Correct option: B
4(2n+1)π\frac{4}{{\left( {2n + 1} \right)\pi }}
Option B (4(2n+1)π\frac{4}{{\left( {2n + 1} \right)\pi }}) is correct because by converting cotangent to tangent and using trigonometric identities, we can solve for sin⁡2x\sin 2x in terms of nn.

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