Question

√2sin(a-p/4)-sina

упростите выражение

Answer 1

$sqrt{2} , sin(a-frac{pi}{4})-sina=sqrt2(sinacdot cosfrac{pi}{4}- cosacdot sinfrac{pi}{4})-sina=\\=sqrt2cdot (sinacdot frac{sqrt2}{2}-cosacdot frac{sqrt2}{2})-sina=\\=sqrt2cdot frac{sqrt2}{2}cdot ( sina-cosa)-sina=sina-cosa-sina=-cosa$