Solve tan71^{circ}tan139^circtan235^circtan304^circtan(-393^circ)tan1000

$$\tan 71 ^ { \circ } \tan 139 ^ { \circ } \tan 235 ^ { \circ } \tan 304 ^ { \circ } \tan ( - 393 ^ { \circ } ) \tan 1000$$

Evaluate

$$19.686820123721578961252667142109284748931624326320363416567073674232732515856482119143413585675$$

Solution Steps

Evaluate trigonometric functions in the problem

$$2.904210877675822 \cdot -0.8692867378162267 \cdot 1.4281480067421135 \cdot -1.4825609685127425 \cdot -0.6494075931975097 \cdot -5.671281819617797$$

Multiply 2.904210877675822 and -0.8692867378162267 to get -2.5245919997852159109622538608474.

$$-2.5245919997852159109622538608474\times 1.4281480067421135\left(-1.4825609685127425\right)\left(-0.6494075931975097\right)\left(-5.671281819617797\right)$$

Multiply -2.5245919997852159109622538608474 and 1.4281480067421135 to get -3.6054910323303423365528222205749023608463769799.

$$-3.6054910323303423365528222205749023608463769799\left(-1.4825609685127425\right)\left(-0.6494075931975097\right)\left(-5.671281819617797\right)$$

Multiply -3.6054910323303423365528222205749023608463769799 and -1.4825609685127425 to get 5.34536027685568011589577444996737220803501682836973399181637575.

$$5.34536027685568011589577444996737220803501682836973399181637575\left(-0.6494075931975097\right)\left(-5.671281819617797\right)$$

Multiply 5.34536027685568011589577444996737220803501682836973399181637575 and -0.6494075931975097 to get -3.471317552166421337115518247410749757035836232823416828942011923594524579469775.

$$-3.471317552166421337115518247410749757035836232823416828942011923594524579469775\left(-5.671281819617797\right)$$

Multiply -3.471317552166421337115518247410749757035836232823416828942011923594524579469775 and -5.671281819617797 to get 19.686820123721578961252667142109284748931624326320363416567073674232732515856482119143413585675.

$$19.686820123721578961252667142109284748931624326320363416567073674232732515856482119143413585675$$