Q: Find the period of f(x) = sinx + tan(ax) where a ∈ R+, If it exists.
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Solution: f(x) = sinx + tan(ax) , where a ∈ R+
Period of sinx = 2 π and period of tanax = π/a
If a is irrational, then f(x) is non-periodic
If a is rational the period will be L.C.M. of 2π and π/a.