Solve sin112^circ/sin7^circ

$$\frac { \sin 112 ^ { \circ } } { \sin 7 ^ { \circ } }$$

Evaluate

$$\frac{23179596364169685}{3046733585128687}\approx 7.608015508$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{0.9271838545667874}{0.12186934340514748}$$

Expand \frac{0.9271838545667874}{0.12186934340514748} by multiplying both numerator and the denominator by 100000000000000000.

$$\frac{92718385456678740}{12186934340514748}$$

Reduce the fraction \frac{92718385456678740}{12186934340514748} to lowest terms by extracting and canceling out 4.

$$\frac{23179596364169685}{3046733585128687}$$

Factor

$$\frac{5 \cdot 11 \cdot 23 \cdot 1033 \cdot 1970935957 \cdot 3 ^ {2}}{211 \cdot 307 \cdot 8329 \cdot 5647039} = 7\frac{1852461268268875}{3046733585128687} = 7.608015507923261$$