Solve sin(80)2.4310/sin(20)

$$\frac{ \sin ( 80 ) 2.4310 }{ \sin ( 20 ) }$$

Evaluate

$$\frac{598516911893169412}{85505035831417175}\approx 6.999785522$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{0.984807753012208 \cdot 2.4310}{0.3420201433256687}$$

Multiply 0.984807753012208 and 2.431 to get 2.394067647572677648.

$$\frac{2.394067647572677648}{0.3420201433256687}$$

Expand \frac{2.394067647572677648}{0.3420201433256687} by multiplying both numerator and the denominator by 1000000000000000000.

$$\frac{2394067647572677648}{342020143325668700}$$

Reduce the fraction \frac{2394067647572677648}{342020143325668700} to lowest terms by extracting and canceling out 4.

$$\frac{598516911893169412}{85505035831417175}$$

Factor

$$\frac{11 \cdot 13 \cdot 17 \cdot 443 \cdot 2399 \cdot 57915859 \cdot 2 ^ {2}}{179 \cdot 25693 \cdot 743676121 \cdot 5 ^ {2}} = 6\frac{85486696904666400}{85505035831417170} = 6.999785522261087$$