Solve 127/2*sin(78^circ)

$$\frac{ 127 }{ 2 \times \sin ( 78 ^ { \circ } ) }$$

Evaluate

$$\frac{79375000000000000}{1222684500917257}\approx 64.918627774$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{127}{2 \cdot 0.9781476007338056}$$

Multiply 2 and 0.9781476007338056 to get 1.9562952014676112.

$$\frac{127}{1.9562952014676112}$$

Expand \frac{127}{1.9562952014676112} by multiplying both numerator and the denominator by 10000000000000000.

$$\frac{1270000000000000000}{19562952014676112}$$

Reduce the fraction \frac{1270000000000000000}{19562952014676112} to lowest terms by extracting and canceling out 16.

$$\frac{79375000000000000}{1222684500917257}$$

Factor

$$\frac{127 \cdot 2 ^ {12} \cdot 5 ^ {16}}{7 \cdot 43891 \cdot 3979613461} = 64\frac{1123191941295552}{1222684500917257} = 64.91862777392936$$