Solve sin(25^circ)/sin(15^circ)

$$\frac{ \sin ( 25 ^ { \circ } ) }{ \sin ( 15 ^ { \circ } ) }$$

Evaluate

$$\frac{7043637695678324}{4313650751708679}\approx 1.632871575$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{0.42261826174069944}{0.25881904510252074}$$

Expand \frac{0.42261826174069944}{0.25881904510252074} by multiplying both numerator and the denominator by 100000000000000000.

$$\frac{42261826174069944}{25881904510252074}$$

Reduce the fraction \frac{42261826174069944}{25881904510252074} to lowest terms by extracting and canceling out 6.

$$\frac{7043637695678324}{4313650751708679}$$

Factor

$$\frac{13 \cdot 101 \cdot 55843 \cdot 24016159 \cdot 2 ^ {2}}{5694427 \cdot 9352117 \cdot 3 ^ {4}} = 1\frac{2729986943969645}{4313650751708679} = 1.6328715747069396$$