Solve sin52^circ/24(sin42^circ)

$$\frac { \sin 52 ^ { \circ } } { 24 ( \sin 42 ^ { \circ } ) }$$

Evaluate

$$\frac{1970026884016805}{40147836381531492}\approx 0.049069316$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{0.788010753606722}{24 \cdot 0.6691306063588582}$$

Multiply 24 and 0.6691306063588582 to get 16.0591345526125968.

$$\frac{0.788010753606722}{16.0591345526125968}$$

Expand \frac{0.788010753606722}{16.0591345526125968} by multiplying both numerator and the denominator by 10000000000000000.

$$\frac{7880107536067220}{160591345526125968}$$

Reduce the fraction \frac{7880107536067220}{160591345526125968} to lowest terms by extracting and canceling out 4.

$$\frac{1970026884016805}{40147836381531492}$$

Factor

$$\frac{5 \cdot 394005376803361}{3 \cdot 47 \cdot 757 \cdot 94034487529 \cdot 2 ^ {2}} = 0.049069316346099345$$