\[
\tan ^{2} x-\sec ^{2} x
\]
chacse the carrect answer below
1
$\sec x$
$-1$
$-\cos ^{2} x$

Answer

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Answer

Final Answer: $\boxed{-1}$

Steps

Step 1 ：The given expression is $\tan ^{2} x-\sec ^{2} x$.

Step 2 ：We know that $\tan ^{2} x = \sec ^{2} x - 1$ and $\sec ^{2} x = \tan ^{2} x + 1$.

Step 3 ：We can substitute $\tan ^{2} x$ with $\sec ^{2} x - 1$ in the given expression.

Step 4 ：The simplified expression is -1. This means that $\tan ^{2} x-\sec ^{2} x = -1$.

Step 5 ：Final Answer: $\boxed{-1}$