Докажите справедливость неравенств:

[tex]\displaystyle 1. \frac{sin (\frac{ \pi}{3}+ \alpha)}{sin( \frac{ \pi}{12}+ \frac{ \alpha}{4})sin(\frac{5 \pi}{12}- \frac{ \alpha}{4})}+2sin \frac{ \alpha}{2}\leq 2 \sqrt3[/tex]

[tex] 2. (1+sin \phi+cos \phi) \cdot (1-sin \phi + cos \phi ) \cdot (1+sin \phi -cos \phi ) \cdot[/tex]
[tex]\cdot (sin \phi+cos \phi -1)\leq 1[/tex]