Solve 2/sin(24)

$$\frac{ 2 }{ \sin ( 24 ) }$$

Evaluate

$$\frac{40000000000000000}{8134732861516003}\approx 4.917186671$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{2}{0.40673664307580015}$$

Expand \frac{2}{0.40673664307580015} by multiplying both numerator and the denominator by 100000000000000000.

$$\frac{200000000000000000}{40673664307580015}$$

Reduce the fraction \frac{200000000000000000}{40673664307580015} to lowest terms by extracting and canceling out 5.

$$\frac{40000000000000000}{8134732861516003}$$

Factor

$$\frac{2 ^ {18} \cdot 5 ^ {16}}{67 \cdot 8387 \cdot 14476442507} = 4\frac{7461068553935988}{8134732861516003} = 4.917186671148477$$