Question

в треугольнике abc угол c  равен 90 градусов.sin a=5корней их 34/34.найдите tg b

Answer 1

$sin alpha = cos beta = frac{5sqrt{34}}{34}\ sin beta = sqrt{1-cos^2 beta} = sqrt{1-frac{25}{34}} = sqrt{frac{9}{34}} = frac{3sqrt{34}}{34}\ tan beta = frac{sin beta}{cos beta} = frac{3}{5}$