[tex]\sin\alpha=\frac{2}{3}\\\tan\alpha=\frac{\sin\alpha}{\cos\alpha}\\\tan^2\alpha=\frac{\sin^2\alpha}{\cos^2\alpha}=\frac{\sin^2\alpha}{1-\sin^2\alpha}\\(1\frac{2}{5})^2=\frac{4/9}{1-4/9}\\\frac{49}{25}=\frac{4/9}{5/9}\\\frac{49}{25}\neq\frac{4}{5}\\L\neq P[/tex]
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