Solve 12^circtan38^circtan52^circtan60^circtan78

$$12 ^ { \circ } \tan 38 ^ { \circ } \tan 52 ^ { \circ } \tan 60 ^ { \circ } \tan 78$$

Evaluate

$$\frac{352847258210883786591799245148179210449125305093\sqrt{3}}{6250000000000000000000000000000000000000000000}\approx 97.783900565$$

Solution Steps

Evaluate trigonometric functions in the problem

$$12 \cdot 0.7812856265067173 \cdot 1.2799416321930788 \tan(60) 4.704630109478451$$

Multiply 0.7812856265067173 and 1.2799416321930788 to get 0.99999999999999989114779876822324.

$$0.99999999999999989114779876822324\times 4.704630109478451\times 12\tan(60)$$

Multiply 0.99999999999999989114779876822324 and 4.704630109478451 to get 4.70463010947845048789065660197572280598833740124.

$$4.70463010947845048789065660197572280598833740124\times 12\tan(60)$$

Multiply 4.70463010947845048789065660197572280598833740124 and 12 to get 56.45556131374140585468787922370867367186004881488.

$$56.45556131374140585468787922370867367186004881488\tan(60)$$

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

$$56.45556131374140585468787922370867367186004881488\sqrt{3}$$