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

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

Meta

$$\frac{30776835371752527\sqrt{3}}{10000000000000000}+2.2737838203698182\approx 7.604488076$$

Lausnarskref

Evaluate trigonometric functions in the problem

$$0.2125565616700221 + 0.7812856265067173 + 1.2799416321930788 + \tan(60) 3.0776835371752527$$

Leggðu saman 0.2125565616700221 og 0.7812856265067173 til að fá 0.9938421881767394.

$$0.9938421881767394+1.2799416321930788+3.0776835371752527\tan(60)$$

Leggðu saman 0.9938421881767394 og 1.2799416321930788 til að fá 2.2737838203698182.

$$2.2737838203698182+3.0776835371752527\tan(60)$$

Fá gildið \tan(60) úr töflunni fyrir hornafræðileg gildi.

$$2.2737838203698182+3.0776835371752527\sqrt{3}$$