`sec^6(x)(sec(x)tan(x)) - sec^4(x)(sec(x)tan(x)) = sec^5(x)tan^3(x)` Verify the identity.

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Chapter 5, 5.2 - Problem 22 - Precalculus (3rd Edition, Ron Larson).
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mathace | (Level 3) Assistant Educator

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Verify the identity.


Factor out the GCF `sec^4(x)(sec(x)tan(x))`


Use the pythagorean identity `1+tan^2(x)=sec^2(x).`

From this identity `sec^2(x)-1=tan^2(x).`




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