Solve 6/sin(27)

$$\frac{ 6 }{ \sin ( 27 ) }$$

Evaluate

$$\frac{24000000000000000}{1815961998958187}\approx 13.216135588$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{6}{0.45399049973954675}$$

Expand \frac{6}{0.45399049973954675} by multiplying both numerator and the denominator by 100000000000000000.

$$\frac{600000000000000000}{45399049973954675}$$

Reduce the fraction \frac{600000000000000000}{45399049973954675} to lowest terms by extracting and canceling out 25.

$$\frac{24000000000000000}{1815961998958187}$$

Factor

$$\frac{3 \cdot 2 ^ {18} \cdot 5 ^ {15}}{1815961998958187} = 13\frac{392494013543569}{1815961998958187} = 13.216135587511602$$