Step 1:
We start with the given equation:
$$
\tan ^{2} \theta-2 \sec \theta=2
$$
We know that $\tan^2\theta = \sec^2\theta - 1$, so we substitute this into the equation to get:
$$
\sec^2\theta - 1 - 2\sec\theta = 2
$$
This simplifies to:
$$
\sec^2\theta -
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