Semana 2 de matematica,me ajudem

[tex]\left[\begin{array}{ccc}senx&cosx&0\\-cosx&senx&0\\senx-cosx&senx+cosx&1\end{array}\right]\\\\[/tex]
Então
[tex]\left[\begin{array}{ccc}senx&cosx&0\\-cosx&senx&0\\senx-cosx&senx+cosx&1\end{array}\right]\\\\\Rightarrow d=senx^2+0+0-0-0+cosx^2\Rightarrow d=senx^2+cosx^2\\\Rightarrow d=1[/tex]
[tex]\forall x\Rightarrow d=1[/tex]