Question

Sa se determine valoarea numerica a expresiei E=2sin 60°+3 cos 30°/tg30°+ctg60°​

Answer 1

E=2sin 60°+3 cos 30°/tg30°+ctg60°

$e= 2 \times \frac{ \sqrt{3} }{2} + 3 \times \frac{ \sqrt{3} }{2} \times \frac{3}{ \sqrt{3} } + \frac{ \sqrt{3} }{3}$

$e = \sqrt{3} + \frac{9}{2} + \frac{ \sqrt{3} }{3} \\ e = \frac{3 \times \sqrt{3} }{3} + \frac{ \sqrt{3} }{3} + \frac{9}{2} \\ e = \frac{4 \times \sqrt{3} }{3} + \frac{9}{2 } \\ e = \frac{8 \sqrt{3} }{6} + \frac{27}{6} \\ e = \frac{8 \sqrt{3} + 27 }{6}$

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