Solve 100*sin30^circ/sin15^circ

$$\frac { 100 \cdot \sin 30 ^ { \circ } } { \sin 15 ^ { \circ } }$$

Evaluate

$$\frac{2500000000000000000}{12940952255126037}\approx 193.185165258$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{100 \cdot \sin(30)}{0.25881904510252074}$$

Get the value of \sin(30) from trigonometric values table.

$$\frac{100\times \frac{1}{2}}{0.25881904510252074}$$

Multiply 100 and \frac{1}{2} to get 50.

$$\frac{50}{0.25881904510252074}$$

Expand \frac{50}{0.25881904510252074} by multiplying both numerator and the denominator by 100000000000000000.

$$\frac{5000000000000000000}{25881904510252074}$$

Reduce the fraction \frac{5000000000000000000}{25881904510252074} to lowest terms by extracting and canceling out 2.

$$\frac{2500000000000000000}{12940952255126037}$$