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

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

Evaluate

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

Solution Steps

Evaluate trigonometric functions in the problem

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

Add 0.2125565616700221 and 0.7812856265067173 to get 0.9938421881767394.

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

Add 0.9938421881767394 and 1.2799416321930788 to get 2.2737838203698182.

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

Get the value of \tan(60) from trigonometric values table.

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