Solve sin50^circ/sin40^circ

$$\frac { \sin 50 ^ { \circ } } { \sin 40 ^ { \circ } }$$

Evaluate

$$\frac{7660444431189780}{6427876096865393}\approx 1.191753593$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{0.766044443118978}{0.6427876096865393}$$

Expand \frac{0.766044443118978}{0.6427876096865393} by multiplying both numerator and the denominator by 10000000000000000.

$$\frac{7660444431189780}{6427876096865393}$$

Factor

$$\frac{5 \cdot 4728669401969 \cdot 2 ^ {2} \cdot 3 ^ {4}}{6427876096865393} = 1\frac{1232568334324387}{6427876096865393} = 1.19175359259421$$