Let the function g:(-oo,\ oo)->(-pi/2,...

Let the function `g:(-oo,\ oo)->(-pi/2,pi/2)` bea given by `g(u)=2tan^(-1)(e^u)-pi/2dot` Then,`(a)` `g` is even and is strictly increasing in `(0,\ oo)` `(b)` odd and is strictly decreasing in `(-oo,\ oo)` `(c)` odd and is strictly increasing in `(-oo,oo)` `(d)` neither even nor odd, but is strictly increasing in `(-oo,\ oo)`

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