Wie vereinfacht man cos (2theta) / (costheta-sintheta) ?
Antworten:
=> color(green)(cos theta + sin theta)
Erläuterung:
cos (2theta) / (cos theta - sin theta)
Aus der obigen Tabelle cos 2theta = cos^2 theta - sin^2 theta
=> (cos^2 theta - sin^2 theta) / (cos theta - sin theta)
=> (cancelcolor(red)(costheta - sin theta) * (cos theta + sin theta)) / cancelcolor(red) (cos theta - sin theta)
=> color(green)(cos theta + sin theta)