Ответ:

  1. \(\cos^2\alpha-1=\cos^2\alpha-(\sin^2\alpha+\cos^2\alpha)=-\sin^2\alpha\).
  2. \((\sin\alpha+\cos\alpha)^2-2\sin\alpha\cos\alpha=\sin^2\alpha+\cos^2\alpha=1\).

Жауап: 1) \(-\sin^2\alpha\); 2) 1.