If $f(x)=\frac{x}{\sin x},g(x)=\frac{x}{\tan x}, 0< x \leq 1$, then in this interval (1) both $f(x), g(x)$ are increasing functions (2) both $f(x), g(x)$ are decreasing functions (3) $f(x)$ is increasing function (4) $g(x)$ is increasing function.
Trial: $f'(x)=\frac{\sin x - x\cos x}{\sin^2x}$ and $g'(x)=\frac{\tan x -x\sec^2x}{\tan^2x}=\frac{\sin x\cos x-x}{\sin^2x}$
From here I can't conclude anything.please help.