Solve 1000/15*sin414^circ

$$\frac { 1000 } { 15 \times \sin 414 ^ { \circ } }$$

Evaluate

$$\frac{500000000000000000}{6067627457812101}\approx 82.404531833$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{1000}{15 \cdot 0.8090169943749468}$$

Multiply 15 and 0.8090169943749468 to get 12.135254915624202.

$$\frac{1000}{12.135254915624202}$$

Expand \frac{1000}{12.135254915624202} by multiplying both numerator and the denominator by 1000000000000000.

$$\frac{1000000000000000000}{12135254915624202}$$

Reduce the fraction \frac{1000000000000000000}{12135254915624202} to lowest terms by extracting and canceling out 2.

$$\frac{500000000000000000}{6067627457812101}$$

Factor

$$\frac{2 ^ {17} \cdot 5 ^ {18}}{181 \cdot 10657 \cdot 349512617 \cdot 3 ^ {2}} = 82\frac{2454548459407718}{6067627457812101} = 82.40453183331938$$