Solve sin125^circ+sin35^circ/cos125^circ-cos35^circ=

$$\frac { \sin 125 ^ { \circ } + \sin 35 ^ { \circ } } { \cos 125 ^ { \circ } - \cos 35 ^ { \circ } } =$$

Evaluate

$$-\frac{3481821201600095}{3481821201600094}\approx -1$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{0.819152044288992 + 0.573576436351046}{-0.5735764363510458 - 0.8191520442889918}$$

Add 0.819152044288992 and 0.573576436351046 to get 1.392728480640038.

$$\frac{1.392728480640038}{-0.5735764363510458-0.8191520442889918}$$

Subtract 0.8191520442889918 from -0.5735764363510458 to get -1.3927284806400376.

$$\frac{1.392728480640038}{-1.3927284806400376}$$

Expand \frac{1.392728480640038}{-1.3927284806400376} by multiplying both numerator and the denominator by 10000000000000000.

$$\frac{13927284806400380}{-13927284806400376}$$

Reduce the fraction \frac{13927284806400380}{-13927284806400376} to lowest terms by extracting and canceling out 4.

$$-\frac{3481821201600095}{3481821201600094}$$

Factor

$$-\frac{3481821201600095}{3481821201600094} = -1\frac{1}{3481821201600094} = -1.0000000000000002$$