Question

представить в виде произведения : tg Π/5 - tg Π/10

Answer 1

$tgfrac{pi}{5}-tgfrac{pi}{10}= frac{sin(frac{pi}{5}-frac{pi}{10})}{cosfrac{pi}{5}cdot cosfrac{pi}{10}} = frac{sinfrac{pi}{10}}{cosfrac{pi}{5}cdot cosfrac{pi}{10}} = tgfrac{pi}{10}cdot frac{1}{cosfrac{pi}{5}}=tgfrac{pi}{10}cdot secfrac{pi}{5}$