If \( f(x)=\left\{\begin{array}{ll}\ln \operatorname{cosec}(x \pi) & 0x1 \\ \ln \sin (2 x \pi) &...
If \( f(x)=\left\{\begin{array}{ll}\ln \operatorname{cosec}(x \pi) & 0x1 \\ \ln \sin (2 x \pi) & 1x3 / 2\end{array}\right. \) and \( g(x)=\frac{2^{f(x)}+1}{3^{f(x)}+1} \) then find \( \tan ^{-1}\left(g\left(1^{-}\right)\right)+\sec ^{-1}\left(g\left(1^{+}\right)\right) \).
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