8) \(\sin(\arcsin 0.6+\arccos 0.8)\)

Пусть \(\alpha=\arcsin 0.6\), \(\beta=\arccos 0.8\). Тогда \(\sin\alpha=0.6\), \(\cos\alpha=0.8\), \(\cos\beta=0.8\), \(\sin\beta=0.6\).

\[\sin(\alpha+\beta)=0.6\cdot0.8+0.8\cdot0.6=0.96.\]

Ответ: 0.96.