Răspuns:
Explicație pas cu pas:
[tex]sin60 = \frac{ \sqrt{3} }{2} \\ [/tex]
[tex]tg30 = \frac{ \sqrt{3} }{3} \\ [/tex]
[tex]ctg30 = \sqrt{3} [/tex]
[tex](sin60 + tg30) \times ctg30 = ( \frac{ {}^{3)} \sqrt{3} }{2} + \frac{ {}^{2)} \sqrt{3} }{3} ) \times \sqrt{3} \\ = ( \frac{3 \sqrt{3} }{3} + \frac{2 \sqrt{3} }{6} ) \times \sqrt{3} = \frac{5 \sqrt{3} }{6} \times \sqrt{3} = \frac{5 \sqrt{3} \sqrt{3} }{6} \\ = \frac{5 \times 3}{6} = \frac{ 15 {}^{(3} }{6 } = \boxed{ \frac{5}{2} }[/tex]
