Question

Упростить вырожение (sina+cosa)^2-sin2a

Answer 1

$left(sin alpha +cos alpha right)^2-sin2 alpha =sin^2 alpha +2sin alpha cos alpha +cos^2 alpha -sin2 alpha =\\=sin^2 alpha +sin2 alpha +cos^2 alpha -sin2 alpha =sin^2 alpha +cos^2 alpha =1.$