For -infinity < t < +infinity cos(arctan(t)) need some direction for this bad johnny...thanks
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Try to express $\displaystyle \cos t$ in terms of $\displaystyle \tan t,$ can you do that? After that evaluate $\displaystyle \cos(\arctan t).$
Are you trying to find the inverse of: $\displaystyle y=cos(arctan(t))$? If so, simply switch your y's and t's: $\displaystyle t=cos(arctan(y))$, and then solve for y.
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