פתור את tan(12)tan(38)tan(52)tan(60)tan(78)

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

הערך

$$\frac{249999999999999771247697852997606937991197286900362484181841851\sqrt{3}}{250000000000000000000000000000000000000000000000000000000000000}\approx 1.732050808$$

שלבי פתרון

Evaluate trigonometric functions in the problem

$$0.2125565616700221 \cdot 0.7812856265067173 \cdot 1.2799416321930788 \tan(60) 4.704630109478451$$

הכפל את ‎0.2125565616700221 ו- ‎0.7812856265067173 כדי לקבל ‎0.16606738645247690885905168945233.

$$0.16606738645247690885905168945233\times 1.2799416321930788\times 4.704630109478451\tan(60)$$

הכפל את ‎0.16606738645247690885905168945233 ו- ‎1.2799416321930788 כדי לקבל ‎0.212556561670022076862750375960187515739988533604.

$$0.212556561670022076862750375960187515739988533604\times 4.704630109478451\tan(60)$$

הכפל את ‎0.212556561670022076862750375960187515739988533604 ו- ‎4.704630109478451 כדי לקבל ‎0.999999999999999084990791411990427751964789147601449936727367404.

$$0.999999999999999084990791411990427751964789147601449936727367404\tan(60)$$

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

$$0.999999999999999084990791411990427751964789147601449936727367404\sqrt{3}$$