Question

Упростить:
(tg+1)/(1+ctg)

Answer 1

$frac{tg+1}{1+ctg} = frac{frac{sin}{cos}+1}{frac{cos}{sin}+1} = frac{sin+cos}{cos} : frac{cos+sin}{sin} =frac{sin+cos}{cos}* frac{sin}{cos + sin} = frac{sin}{cos} =tg$