$\cot\dfrac{\pi}{20}\cdot\cot\dfrac{3\pi}{20}\cdot\cot\dfrac{5\pi}{20}\cdot\cot\dfrac{7\pi}{20}\cdot\cot\dfrac{9\pi}{20}

Question

$\cot\dfrac{\pi}{20}\cdot\cot\dfrac{3\pi}{20}\cdot\cot\dfrac{5\pi}{20}\cdot\cot\dfrac{7\pi}{20}\cdot\cot\dfrac{9\pi}{20}$ equals —

Accepted Answer

$1$

Answer

$0$

Answer

$-1$

Answer

$\sqrt{3}$

cot⁡π20⋅cot⁡3π20⋅cot⁡5π20⋅cot⁡7π20⋅cot⁡9π20\cot\dfrac{\pi}{20}\cdot\cot\dfrac{3\pi}{20}\cdot\cot\dfrac{5\pi}{20}\cdot\cot\dfrac{7\pi}{20}\cdot\cot\dfrac{9\pi}{20}cot20π​⋅cot203π​⋅cot equals —