Løs tan(12)tan(38)tan(52)tan(60)tan(78)

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

Evaluer

$$\frac{249999999999999771247697852997606937991197286900362484181841851\sqrt{3}}{250000000000000000000000000000000000000000000000000000000000000}\approx 1,732050808$$

Løsningstrinn

Evaluate trigonometric functions in the problem

$$0,2125565616700221 \cdot 0,7812856265067173 \cdot 1,2799416321930788 \tan(60) 4,704630109478451$$

Multipliser 0,2125565616700221 med 0,7812856265067173 for å få 0,16606738645247690885905168945233.

$$0,16606738645247690885905168945233\times 1,2799416321930788\times 4,704630109478451\tan(60)$$

Multipliser 0,16606738645247690885905168945233 med 1,2799416321930788 for å få 0,212556561670022076862750375960187515739988533604.

$$0,212556561670022076862750375960187515739988533604\times 4,704630109478451\tan(60)$$

Multipliser 0,212556561670022076862750375960187515739988533604 med 4,704630109478451 for å få 0,999999999999999084990791411990427751964789147601449936727367404.

$$0,999999999999999084990791411990427751964789147601449936727367404\tan(60)$$

Få verdien av \tan(60) fra tabellen for trigonometriske verdier.

$$0,999999999999999084990791411990427751964789147601449936727367404\sqrt{3}$$