[tex]\tan ^2\left(x\right)-\sin ^2\left(x\right)=\tan ^2\left(x\right)\sin ^2\left(x\right)\\\left(1-\cos ^2\left(x\right)\right)\tan ^2\left(x\right)\\\tan ^2\left(x\right)-\cos ^2\left(x\right)\tan ^2\left(x\right)\\\tan ^2\left(x\right)-\sin ^2\left(x\right)\\\mathrm{Verdadeiro}[/tex]
