Question

Упростите выражение (tga+sina)/(2cos^2*a/2)

Answer 1

$= (frac{sin alpha }{cos alpha }+sin alpha )/ 2*frac{1+cos alpha }{2}= frac{sin alpha + sin alpha cos alpha }{cos alpha } * frac{1}{1+cos alpha } =$$= frac{sin alpha *(1+cos alpha) }{cos alpha } * frac{1}{1+cos alpha } = frac{sin alpha}{cos alpha }$=$tg alpha$