Answer
$$\lim_{x\to\pi}\cos^2(x-\tan x)=1$$
Work Step by Step
$$A=\lim_{x\to\pi}\cos^2(x-\tan x)$$
$$A=\cos^2(\pi-\tan\pi)$$
$$A=\cos^2(\pi-0)$$
$$A=\cos^2\pi$$
$$A=(-1)^2=1$$
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