Solve cos(5)/60

$$\frac { \cos ( 5 ) } { 60 }$$

Evaluate

$$\frac{1992389396183491}{120000000000000000}\approx 0.016603245$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{0.9961946980917455}{60}$$

Expand \frac{0.9961946980917455}{60} by multiplying both numerator and the denominator by 10000000000000000.

$$\frac{9961946980917455}{600000000000000000}$$

Reduce the fraction \frac{9961946980917455}{600000000000000000} to lowest terms by extracting and canceling out 5.

$$\frac{1992389396183491}{120000000000000000}$$

Factor

$$\frac{271 \cdot 499 \cdot 12503 \cdot 1178393}{3 \cdot 2 ^ {18} \cdot 5 ^ {16}} = 0.01660324496819576$$