Solve sin30^circ/sin130^circ

$$\frac { \sin 30 ^ { \circ } } { \sin 130 ^ { \circ } }$$

Evaluate

$$\frac{250000000000000}{383022221559489}\approx 0.652703645$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{\sin(30)}{0.766044443118978}$$

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

$$\frac{\frac{1}{2}}{0.766044443118978}$$

Express \frac{\frac{1}{2}}{0.766044443118978} as a single fraction.

$$\frac{1}{2\times 0.766044443118978}$$

Multiply 2 and 0.766044443118978 to get 1.532088886237956.

$$\frac{1}{1.532088886237956}$$

Expand \frac{1}{1.532088886237956} by multiplying both numerator and the denominator by 1000000000000000.

$$\frac{1000000000000000}{1532088886237956}$$

Reduce the fraction \frac{1000000000000000}{1532088886237956} to lowest terms by extracting and canceling out 4.

$$\frac{250000000000000}{383022221559489}$$