Solve sin(42)/28*39

$$\frac{ \sin ( 42 ) }{ 28 } \times 39$$

Evaluate

$$\frac{130480468239977349}{140000000000000000}\approx 0.932003345$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{0.6691306063588582}{28} \cdot 39$$

Expand \frac{0.6691306063588582}{28} by multiplying both numerator and the denominator by 10000000000000000.

$$\frac{6691306063588582}{280000000000000000}\times 39$$

Reduce the fraction \frac{6691306063588582}{280000000000000000} to lowest terms by extracting and canceling out 2.

$$\frac{3345653031794291}{140000000000000000}\times 39$$

Express \frac{3345653031794291}{140000000000000000}\times 39 as a single fraction.

$$\frac{3345653031794291\times 39}{140000000000000000}$$

Multiply 3345653031794291 and 39 to get 130480468239977349.

$$\frac{130480468239977349}{140000000000000000}$$

Factor

$$\frac{3 \cdot 13 \cdot 47 \cdot 757 \cdot 94034487529}{7 \cdot 2 ^ {17} \cdot 5 ^ {16}} = 0.9320033445712668$$