Răspuns:
Explicație pas cu pas:
[tex] sin(30) = \frac{1}{2} \\ [/tex]
[tex] tg(45) = 1[/tex]
[tex] cos(30) = \frac{ \sqrt{3} }{2} \\ [/tex]
[tex] ctg(60) = \frac{ \sqrt{3} }{3} \\ [/tex]
___________
[tex] sin(30) \times tg(45) + cos(30) \times ctg(60) = \frac{1}{2} \times 1 + \frac{ \sqrt{3} }{2} \times \frac{ \sqrt{3} }{3} \\ [/tex]
[tex] = \frac{ {}^{3)} 1}{2} + \frac{3}{6} = \frac{3}{6} + \frac{3}{6} = \frac{6}{6} = \boxed{1} \\ [/tex]
Răspuns:
1
Explicație pas cu pas:
sin 30·tg45+cos30·ctg 60=1/2·1+√3/2·√3/3=1/2+3·/2·3=1/2+1/2=1
