Question

Найдите tg a, если cos a = 1/3

Answer 1

tga=sina/cosa
cos²a+sin²a=1
sin²a=1-cos²a=1-1/9=8/9
sina=2√2/3
$tg alpha a= frac{frac{2 sqrt{2} }{3} }{ frac{1}{3} } =frac{2 sqrt{2}*3 }{3} =2 sqrt{2}$