Lahenda tan12^{circ}+tan38^circ+tan52^circ+tan60^circtan72^circ

$$\tan 12 ^ { \circ } + \tan 38 ^ { \circ } + \tan 52 ^ { \circ } + \tan 60 ^ { \circ } \tan 72 ^ { \circ }$$

Arvuta

$$\frac{30776835371752527\sqrt{3}}{10000000000000000}+2,2737838203698182\approx 7,604488076$$

Lahenduse etapid

Evaluate trigonometric functions in the problem

$$0,2125565616700221 + 0,7812856265067173 + 1,2799416321930788 + \tan(60) 3,0776835371752527$$

Liitke 0,2125565616700221 ja 0,7812856265067173, et leida 0,9938421881767394.

$$0,9938421881767394+1,2799416321930788+3,0776835371752527\tan(60)$$

Liitke 0,9938421881767394 ja 1,2799416321930788, et leida 2,2737838203698182.

$$2,2737838203698182+3,0776835371752527\tan(60)$$

Leidke \tan(60) väärtus trigonomeetriliste väärtuste tabelist.

$$2,2737838203698182+3,0776835371752527\sqrt{3}$$