Question

5tg(7π/12 + 3а)-5tg( π/3 + 3a) / 1+tg(7π/12 + 3a) tg( π/3 + 3a)

Answer 1

$frac{5tg(frac{7pi }{12}+3a)-5tg(frac{pi}{3}+3a)}{1+tg(frac{7pi}{12}+3a)cdot tg(frac{pi}{3}+3a)} =5cdot tg( frac{7pi }{12}+3a-frac{pi}{3}-3a)=5cdot tgfrac{3pi}{12}= \\=5cdot tgfrac{pi}{4}=5cdot 1=5\\\Formyla:; ; tg( alpha- beta )=frac{tg alpha -tg beta }{1+tg alpha cdot tg beta beta }$