Question

Tgt=-5/12 п/2 Найти sinT cosT ctgT

Answer 1

$tgt=- frac{5}{12} \\ frac{pi}{2} textless t textless pi ; ; ; to ; ; ; sint textgreater 0; ,; ; cost textless 0; ,; ; ctgt textless 0\\1+tg^2t= frac{1}{cos^2t} ; ; to ; ; cos^2t= frac{1}{1+tg^2t} \\cos^2t= frac{1}{1+25/144} = frac{144}{169} ; ; to ; ; cost=- frac{12}{13} \\sin^2t=1-cos^2t=1- frac{144}{169} = frac{25}{169} ; ; to ; ; ; sint= frac{5}{13} \\ctgt=frac{cost}{sint}=- frac{12}{13} :frac{5}{13} =- frac{12}{5}$