Solve 3.87divsin(102)*sin(39)

$$3.87 \div \sin ( 102 ) \times \sin ( 39 )$$

Evaluate

$$\frac{405911652227145123}{163024600122300950}\approx 2.48987976$$

Solution Steps

Evaluate trigonometric functions in the problem

$$3.87 / 0.9781476007338057 \cdot 0.6293203910498374$$

Expand \frac{3.87}{0.9781476007338057} by multiplying both numerator and the denominator by 10000000000000000.

$$\frac{38700000000000000}{9781476007338057}\times 0.6293203910498374$$

Reduce the fraction \frac{38700000000000000}{9781476007338057} to lowest terms by extracting and canceling out 3.

$$\frac{12900000000000000}{3260492002446019}\times 0.6293203910498374$$

Convert decimal number 0.6293203910498374 to fraction \frac{3146601955249187}{10000000000}. Reduce the fraction \frac{3146601955249187}{10000000000} to lowest terms by extracting and canceling out 1.

$$\frac{12900000000000000}{3260492002446019}\times \frac{3146601955249187}{5000000000000000}$$

Multiply \frac{12900000000000000}{3260492002446019} times \frac{3146601955249187}{5000000000000000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{12900000000000000\times 3146601955249187}{3260492002446019\times 5000000000000000}$$

Do the multiplications in the fraction \frac{12900000000000000\times 3146601955249187}{3260492002446019\times 5000000000000000}.

$$\frac{40591165222714512300000000000000}{16302460012230095000000000000000}$$

Reduce the fraction \frac{40591165222714512300000000000000}{16302460012230095000000000000000} to lowest terms by extracting and canceling out 100000000000000.

$$\frac{405911652227145123}{163024600122300950}$$

Factor

$$\frac{3 \cdot 43 \cdot 823 \cdot 3823331658869}{2 \cdot 11 \cdot 17 \cdot 19 \cdot 101 \cdot 673 \cdot 13500551 \cdot 5 ^ {2}} = 2\frac{79862451982543230}{1.6302460012230096 \times 10^{17}} = 2.4898797600032783$$