Вычислите: tg П/12 + ctg П/12

[latex]tg \frac{ \pi }{12}+ctg \frac{ \pi }{12}= \frac{sin \frac{ \pi }{12} }{cos \frac{ \pi }{12} } + \frac{cos \frac{ \pi }{12}}{sin \frac{ \pi }{12}} = \frac{sin^2 \frac{ \pi }{12}+cos ^2\frac{ \pi }{12}}{sin \frac{ \pi }{12}cos \frac{ \pi }{12}} = \\ \\ \frac{1}{sin \frac{ \pi }{12}cos \frac{ \pi }{12}} =\frac{2}{2sin \frac{ \pi }{12}cos \frac{ \pi }{12}}= \frac{2}{sin \frac{ \pi }{6} }= \frac{2}{ \frac{1}{2} }=2*2=4 [/latex]