Solve sin3cos6/tan20

$$\frac { \sin 3 \cos 6 } { \tan 20 }$$

Evaluate

$$\frac{172921110958948549848512877039}{1209203436100340000000000000000}\approx 0.143004151$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{0.05233595624294383 \cdot 0.9945218953682733}{0.36397023426620234}$$

Multiply 0.05233595624294383 and 0.9945218953682733 to get 0.052049254398643513504402375988739.

$$\frac{0.052049254398643513504402375988739}{0.36397023426620234}$$

Expand \frac{0.052049254398643513504402375988739}{0.36397023426620234} by multiplying both numerator and the denominator by 1000000000000000000000000000000000.

$$\frac{52049254398643513504402375988739}{363970234266202340000000000000000}$$

Reduce the fraction \frac{52049254398643513504402375988739}{363970234266202340000000000000000} to lowest terms by extracting and canceling out 301.

$$\frac{172921110958948549848512877039}{1209203436100340000000000000000}$$

Factor

$$\frac{3 \cdot 211 \cdot 2609 \cdot 181518533897 \cdot 576831877471}{60460171805017 \cdot 2 ^ {17} \cdot 5 ^ {16}} = 0.14300415115972223$$