sin 34-sin 26 per cos 34-cos 26

[tex] \frac{ \sin(34) - \sin(26) }{ \cos(34) - \cos(26) } \\ = \frac{2 \cos( \frac{34 + 26}{2} ) \sin( \frac{34 - 26}{2} ) }{ - 2 \sin( \frac{34 + 26}{2} ) \sin( \frac{34 - 26}{2} ) } \\ = \frac{2 \cos(30) \sin(4) }{ - 2 \sin(30) \sin(4) } \\ = - \frac{ \cos(30) }{ \sin(30) } \\ = - \frac{ \frac{1}{2} \sqrt{3} }{ \frac{1}{2} } \\ = - \sqrt{3} [/tex]