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If 0 alpha ltbeta lt pi/2 then |
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Answer» `(tan beta)/(tan alpha ) LT (alpha)/(beta)` we have , `f(x) = x sec^2 x + tan x gt 0 " for all " x In (0,pi//2)` `rArrf(x) is increasingon (0,pi//2)` `rArrf(alpha)lt f (beta) for 0 alpha lt beta lt (pi)/(2)` `rArralpha tan alpha lt beta ` `rArr /beta(tan beta)/(tan alpha)` |
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