Question

Тригонометрия,10 класс. ПОМОГИТЕ

Answer 1

$frac{sin2 alpha +2sin^2 alpha }{sin2 alpha +2cos^2 alpha }=frac{2sin alpha*cos alpha +2sin^2 alpha }{2sin alpha*cos alpha +2cos^2 alpha }=frac{2sin alpha(cos alpha +sin alpha) }{2cos alpha(sin alpha +cos alpha) }= frac{sin alpha }{cos alpha }$=$tg alpha = frac{1}{ctg alpha }= frac{1}{ frac{1}{8} } =8$