Solve 1/sin15^circ

$$\frac { 1 } { \sin 15 ^ { \circ } }$$

Evaluate

$$\frac{50000000000000000}{12940952255126037}\approx 3.863703305$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{1}{0.25881904510252074}$$

Expand \frac{1}{0.25881904510252074} by multiplying both numerator and the denominator by 100000000000000000.

$$\frac{100000000000000000}{25881904510252074}$$

Reduce the fraction \frac{100000000000000000}{25881904510252074} to lowest terms by extracting and canceling out 2.

$$\frac{50000000000000000}{12940952255126037}$$

Factor

$$\frac{2 ^ {16} \cdot 5 ^ {17}}{5694427 \cdot 9352117 \cdot 3 ^ {5}} = 3\frac{11177143234621892}{12940952255126036} = 3.8637033051562737$$