Question

tg a+ ctg a ,если tg a/2 =3

Answer 1

$tg frac{ alpha }{2} =3 \ tga= frac{2tg frac{ alpha }{2} }{1-tg ^{2} frac{ alpha }{2} } = frac{2*3}{1-9} =- frac{6}{8} =- frac{3}{4} \ ctga=- frac{4}{3} \ - frac{3}{4} - frac{4}{3} = frac{-9-16}{12} =- frac{25}{12} =-2 frac{1}{12}$