Løs 12^circtan38^circtan52^circtan60^circtan78

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

Evaluer

$$\frac{352847258210883786591799245148179210449125305093\sqrt{3}}{6250000000000000000000000000000000000000000000}\approx 97,783900565$$

Løsningsvejledning

Evaluate trigonometric functions in the problem

$$12 \cdot 0,7812856265067173 \cdot 1,2799416321930788 \tan(60) 4,704630109478451$$

Multiplicer 0,7812856265067173 og 1,2799416321930788 for at få 0,99999999999999989114779876822324.

$$0,99999999999999989114779876822324\times 4,704630109478451\times 12\tan(60)$$

Multiplicer 0,99999999999999989114779876822324 og 4,704630109478451 for at få 4,70463010947845048789065660197572280598833740124.

$$4,70463010947845048789065660197572280598833740124\times 12\tan(60)$$

Multiplicer 4,70463010947845048789065660197572280598833740124 og 12 for at få 56,45556131374140585468787922370867367186004881488.

$$56,45556131374140585468787922370867367186004881488\tan(60)$$

Hent værdien af \tan(60) fra trigonometriske værditabeller.

$$56,45556131374140585468787922370867367186004881488\sqrt{3}$$