God Created Math

There is a saying: computer was the crystallization of men's intelligence, but math is from god. Today, god also sends us a problem.

Some explanations:

In $\sin (x)$, $x$ is a radian.

0! = 1, n! = (n-1)! \cdot n (n \geq 1).

$[x]$ is the integer part of a floating number.

\text{fib}(0) = \text{fib}(1) = 1, and \text{fib}(n) = \text{fib}(n-1) + \text{fib}(n-2) (n \geq 2).

Your task is calculating the value with a given $N$.