calculus - Calculating $lim_{xto0} leftlfloorfrac{x^2}{sin x tan x}rightrfloor$

Find $$\lim_{x\to0} \left\lfloor\frac{x^2}{\sin x \tan x}\right\rfloor$$ where $\lfloor\cdot\rfloor$ is greatest integer function

I am a high school teacher. One of my students came up to ask this limit.
For $\lfloor\frac{\sin x}{x}\rfloor$, I have used $\sin x > x$ using increasing decreasing functions.

I tried to prove $x^2 > \sin x \tan x$ using increasing /decreasing
function but I am not getting it.