求解 12tan(38)tan(52)tan(60)tan(78)

$$12 \tan ( 38 ) \tan ( 52 ) \tan ( 60 ) \tan ( 78 )$$

求值

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

求解步骤

对题中的三角函数求值

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

将 0.7812856265067173 与 1.2799416321930788 相乘，得到 0.99999999999999989114779876822324。

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

将 0.99999999999999989114779876822324 与 4.704630109478451 相乘，得到 4.70463010947845048789065660197572280598833740124。

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

将 4.70463010947845048789065660197572280598833740124 与 12 相乘，得到 56.45556131374140585468787922370867367186004881488。

$$56.45556131374140585468787922370867367186004881488\tan(60)$$

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

$$56.45556131374140585468787922370867367186004881488\sqrt{3}$$