Solve sin(50)/sin(30.71)

$$\frac{ \sin ( 50 ) }{ \sin ( 30.71 ) }$$

Evaluate

$$\frac{3830222215594890}{2553464913335159}\approx 1.50000973$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{0.766044443118978}{0.5106929826670318}$$

Expand \frac{0.766044443118978}{0.5106929826670318} by multiplying both numerator and the denominator by 10000000000000000.

$$\frac{7660444431189780}{5106929826670318}$$

Reduce the fraction \frac{7660444431189780}{5106929826670318} to lowest terms by extracting and canceling out 2.

$$\frac{3830222215594890}{2553464913335159}$$

Factor

$$\frac{2 \cdot 5 \cdot 4728669401969 \cdot 3 ^ {4}}{97 \cdot 239 \cdot 33871 \cdot 3251863} = 1\frac{1276757302259731}{2553464913335159} = 1.5000097301482476$$