Explicación paso a paso:
1)
[tex]sen30+sin60\\\\\frac{1}{2} +\frac{\sqrt{3} }{2} =\frac{1+\sqrt{3} }{2}[/tex]
4)
[tex]1+tg^{2} 30\\\\1+\frac{sen^{2}30 }{cos^{2} 30} \\\\\frac{cos^{2} 30 + sen^{2} 30}{cos^{2} 30} \\\\\frac{1}{cos^{2} 30}[/tex]
5)
[tex]1-cos^{2} 30\\sen^{30}[/tex]