Solve 20^circtan40^circtan80^circ

$$20 ^ { \circ } \tan 40 ^ { \circ } \tan 80 ^ { \circ }$$

Evaluate

$$95.175409662872615572395242703786$$

Solution Steps

Evaluate trigonometric functions in the problem

$$20 \cdot 0.8390996311772799 \cdot 5.671281819617707$$

Multiply 20 and 0.8390996311772799 to get 16.781992623545598.

$$16.781992623545598\times 5.671281819617707$$

Multiply 16.781992623545598 and 5.671281819617707 to get 95.175409662872615572395242703786.

$$95.175409662872615572395242703786$$

Factor

$$\frac{29 \cdot 61 \cdot 312703 \cdot 10252301 \cdot 932332923530311 \cdot 3 ^ {2}}{2 ^ {29} \cdot 5 ^ {30}} = 95\frac{8.770483143631331 \times 10^{28}}{5.000000000000001 \times 10^{29}} = 95.17540966287262$$