第一个:sin(2a)=sin(a+a)=sin(a)*cos(a)+cos(a)*sin(a)=2*sin(a)*cos(a);第二个:tan^2(α)+1=(sin(α)/cos(α))^2+1=sin^2(α)/cos^2(α)+1=sin^2(α)/cos^2(α)+cos^2(α)/cos^2(α)=[sin^2(α)+cos^2(α)]/cos^2(α)=1/cos^2(α)就是这样了