Question

найдите cos, tg, ctg, если sin=√2/3, 0

Answer 1

$cos(x)= sqrt{1-sin x^{2} } tg(x)=sin(x)/cos(x)=sin(x)/sqrt{1-sin x^{2} } ctg(x)=1/tg(x)$

$cos(x)= sqrt{1-frac{2}{9} }= sqrt{ frac{7}{9} } = frac{ sqrt{7} }{3} tg(x)=frac{ sqrt{2}}{3} : frac{ sqrt{7}}{3}= sqrt{ frac{2}{7} } ctg(x)= 1:sqrt{ frac{2}{7} }=sqrt{ frac{7}{2} }$ [/tex]$cos(x)= sqrt{1-sin x^{2} } tg(x)=sin(x)/cos(x)=sin(x)/sqrt{1-sin x^{2} } ctg(x)=1/tg(x) cos(x)= sqrt{1-frac{2}{9} }= sqrt{ frac{7}{9} } = frac{ sqrt{7} }{3};;tg(x)=frac{ sqrt{2}}{3} : frac{ sqrt{7}}{3}= sqrt{ frac{2}{7} } ctg(x)= 1:sqrt{ frac{2}{7} }=sqrt{ frac{7}{2} }$