Correct Answer - B
Consider the function f(x) given `by f(x)=x tan x, x in(0 , pi //2)`
we have ,
`f(x) = x sec^2 x + tan x gt 0 " for all " x In (0,pi//2)`
`rArr f(x) is increasing on (0,pi//2)`
`rArr f(alpha) lt f (beta) for 0 alpha lt beta lt (pi)/(2)`
`rArr alpha tan alpha lt beta `
`rArr /beta (tan beta)/(tan alpha)`