Question

tg(arcsin 12/13) вычислить

Answer 1

$1)sin(arcsin alpha )= alpha \ 2)sin^2(arcsin alpha )= alpha^2 \ 3)tg alpha = frac{sin alpha }{cos alpha } \ 4)cos alpha = sqrt{1-sin ^{2} alpha } \ \ cos(arcsin frac{12}{13} )= sqrt{1-sin^2(arcsin frac{12}{13} )}= sqrt{1-( frac{12}{13})^2 } \ = sqrt{1- frac{144}{169} } = sqrt{ frac{25}{169} } = frac{5}{13} \ \ tg(arcsin frac{12}{13} )= frac{sin(arcsin frac{12}{13} )}{cos(arcsin frac{12}{13} )} = frac{12}{13} : frac{5}{13} = frac{12}{13} : frac{13}{5}=$
$= frac{12}{5} =2.4\ \ OTBET: 2.4$