Consider two functions $f\left(x\right)=1+e^{{\cot }^{2}x}$ and $g\left(x\right)=\sqrt{2\left|\sin x\right|-1}+\frac{1-\cos 2x}{1+{\sin }^{4}x}$

Assertion (A) : The solution of f(x)=g(x) is given by  $x=(2n+1)\frac{\pi }{2}\forall n\in I$

Reason-(R) : If $f\left(x\right)\ge kandg\left(x\right)\le k (wherek\in R)$ then the solutions of the equation $f\left(x\right)=g\left(x\right)$ is the solution corresponding to $f\left(x\right)=k$ 

Assertion (A) is true, Reason (R) is false

Assertion (A) is false, Reason (R) is true

Assertion (A) is true, Reason (R) is true, and Reason (R) is not a correct explanation for Assertion (A)

Assertion (A) is true, Reason (R) is true, and Reason (R) is a correct explanation for Assertion (A)