mathematics - Display a number using a scientific calculator with most keys are stuck

Your have a scientific calculator such that most of the keys are unable to be pressed. The only keys that work are those for the functions

$$x^2 \;\; \sqrt{x} \;\; x!\;\; \exp\;\; \ln\;\; \sin\;\; \cos\;\; \tan\;\; \cot\;\; \sec\;\; \csc\;\; \arcsin\;\; \arccos\;\; \arctan$$

When a key is pressed it is applied to whatever appears on the screen and the screen changes to the result. The calculator currently displays at $0$. How can we turn the display to read $2015$?

My try was that press $\cos$, we will get 1. Then press $\arctan$, we will get $\pi/4$. Press $\sin$, we will get $\sqrt{2}/2$. Press $x^2$, we will get $1/2$. Press $\arcsin$ then $\csc$, we will get 2. We can keep using the $x^2,x!$ and $\exp$ to get a larger number, but I don't know it is possible to get $2015$? I know $2015 = 5 * 13 * 31$. Can someone help me?