JEE Advance - Mathematics (1997 - No. 20)
If $$f\left( x \right) = {x \over {\sin x}}$$ and $$g\left( x \right) = {x \over {\tan x}}$$, where $$0 < x \le 1$$, then in this interval
both $$f(x)$$ and $$g(x)$$ are increasing functions
both $$f(x)$$ and $$g(x)$$ are decreasing functions
$$f(x)$$ is an increasing functions
$$g(x)$$ is an increasing functions