Question

упростить tga(1+cos2a)

Answer 1

$tanalpha(1+cos2 alpha )=tanalpha(cos^2alpha+sin^2 alpha+cos^2alpha-sin^2 alpha)=$

$=tanalpha*2cos^2alpha=2tanalpha*cos^2alpha=2 frac{sin alpha cos^2alpha}{cosalpha}= 2sinalpha cosalpha=$

$=sin2alpha$