Problem

Complete the following equation.
\[
\tan ^{2} \theta-\sec ^{2} \theta=
\]

Answer

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Answer

Final Answer: \(\boxed{-1}\)

Steps

Step 1 :Given the equation \(\tan^{2}\theta - \sec^{2}\theta\)

Step 2 :We know that \(\tan^{2}\theta\) is equal to \(\sec^{2}\theta - 1\)

Step 3 :Substitute \(\tan^{2}\theta\) with \(\sec^{2}\theta - 1\) in the equation

Step 4 :The equation becomes \(\sec^{2}\theta - 1 - \sec^{2}\theta\)

Step 5 :Simplify the equation to get the final answer

Step 6 :Final Answer: \(\boxed{-1}\)

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