Question
Verify the equation is an identity using special products and fundamental identities.$$(\sec x+1)[\sec (-x)-1]=\tan ^{2} x$$
Step 1
We know that $\sec(-x) = \sec(x)$ because $\sec$ is the reciprocal of $\cos$, and $\cos$ is an even function. So, we can rewrite the left side of the equation as follows: $$(\sec x+1)(\sec x-1)$$ Show more…
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