Trigonometric EquationHard

Question

In (0, π), f(x) = sinmx + cosecmx, attains -

Options

A.a maxima independent of m
B.a minimum value which is a function of m
C.a minimum value which is independent of m
D.the minimum value at the same point independent of m.

Solution

Using AM ≥ GM
sinmx + cosecmx ≥ 2
minimum value is 2 at x =

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