[tex] \frac{sin\theta}{cos\theta}=tan\theta [/tex]
[tex]cos\theta= -\frac{2}{5} [/tex]
[tex]tan\theta\ \textgreater \ 0[/tex]
Therefore
[tex] \frac{sin\theta}{ -\frac{2}{5} } \ \textgreater \ 0[/tex]
[tex] -\frac{5sin\theta}{2}\ \textgreater \ 0 [/tex]
[tex]sin\theta\ \textless \ 0[/tex]
Therefore [tex]sin\theta[/tex] is any value less than 0
