Solve 12sin38/sin32

$$\frac { 12 \sin 38 } { \sin 32 }$$

Evaluate

$$\frac{73879377039078984}{5299192642332049}\approx 13.941628853$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{12 \cdot 0.6156614753256582}{0.5299192642332049}$$

Multiply 12 and 0.6156614753256582 to get 7.3879377039078984.

$$\frac{7.3879377039078984}{0.5299192642332049}$$

Expand \frac{7.3879377039078984}{0.5299192642332049} by multiplying both numerator and the denominator by 10000000000000000.

$$\frac{73879377039078984}{5299192642332049}$$

Factor

$$\frac{173 \cdot 1977076028663 \cdot 2 ^ {3} \cdot 3 ^ {3}}{41 \cdot 4283 \cdot 11467 \cdot 2631649} = 13\frac{4989872688762339}{5299192642332049} = 13.941628852837178$$