Solve 5*cos(2+pi)/6

$$\frac{ 5 \times \cos ( 2+ \pi ) }{ 6 }$$

Evaluate

$$\frac{4161468365471423}{12000000000000000}\approx 0.34678903$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{5 \cdot 0.4161468365471423}{6}$$

Multiply 5 and 0.4161468365471423 to get 2.0807341827357115.

$$\frac{2.0807341827357115}{6}$$

Expand \frac{2.0807341827357115}{6} by multiplying both numerator and the denominator by 10000000000000000.

$$\frac{20807341827357115}{60000000000000000}$$

Reduce the fraction \frac{20807341827357115}{60000000000000000} to lowest terms by extracting and canceling out 5.

$$\frac{4161468365471423}{12000000000000000}$$

Factor

$$\frac{29 \cdot 157 \cdot 173 \cdot 5283270467}{3 \cdot 2 ^ {17} \cdot 5 ^ {15}} = 0.34678903045595194$$