Application of Integrals

Sketch the graph for $$y={\csc}^{-1}\left(csc{x}\right)$$
Consider a square with vertices at $$A\left(1,1\right),B\left(-1,1\right),C\left(-1,-1\right)$$ and $$D\left(1,-1\right)$$.Let $$S$$ be the region consisting of all points inside the square which are nearer to the origin than to any edge.
On the basis of above information, answer the following questions:
Consider a square with vertices at $$A\left(1,1\right),B\left(-1,1\right),C\left(-1,-1\right)$$ and $$D\left(1,-1\right)$$.Let $$S$$ be the region consisting of all points inside the square which are nearer to the origin than to any edge.
On the basis of above information, answer the following questions:
Find the solutions of $$4\left\{x\right\}=x+\left[x\right]$$ where $$\left\{.\right\},\left[.\right]$$ represents fractional part and greatest integer function.
Solve $$y = \left| {\cos x} \right|,\,y = 0,\,x =  - \pi $$ and $$x = \pi $$