Solve cos(20^-1)/7*5

$$\frac{ \cos ( { 20 }^{ -1 } ) }{ 7 \cdot 5 }$$

Evaluate

$$\frac{4999998096141247}{175000000000000000}\approx 0.028571418$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{0.9999996192282494}{7 \cdot 5}$$

Multiply 7 and 5 to get 35.

$$\frac{0.9999996192282494}{35}$$

Expand \frac{0.9999996192282494}{35} by multiplying both numerator and the denominator by 10000000000000000.

$$\frac{9999996192282494}{350000000000000000}$$

Reduce the fraction \frac{9999996192282494}{350000000000000000} to lowest terms by extracting and canceling out 2.

$$\frac{4999998096141247}{175000000000000000}$$

Factor

$$\frac{859 \cdot 721291 \cdot 8069863}{7 \cdot 2 ^ {15} \cdot 5 ^ {17}} = 0.028571417692235698$$