Solve sin(pi-8)/1+cos(pi+-8)

$$\frac { \sin ( \pi - 8 ) } { 1 + \cos ( \pi + - 8 ) }$$

Evaluate

$$\frac{19787164932467636}{22910000676172273}\approx 0.863691154$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{0.9893582466233818}{1 + 0.14550003380861365}$$

Add 1 and 0.14550003380861365 to get 1.14550003380861365.

$$\frac{0.9893582466233818}{1.14550003380861365}$$

Expand \frac{0.9893582466233818}{1.14550003380861365} by multiplying both numerator and the denominator by 100000000000000000.

$$\frac{98935824662338180}{114550003380861365}$$

Reduce the fraction \frac{98935824662338180}{114550003380861365} to lowest terms by extracting and canceling out 5.

$$\frac{19787164932467636}{22910000676172273}$$

Factor

$$\frac{11 \cdot 449708293919719 \cdot 2 ^ {2}}{17 \cdot 24481 \cdot 55048694849} = 0.8636911544506166$$