Prove the identity.sec4x - tan4x - 2 tan2x = 1

What will be an ideal response?


Answers may vary. One possible solution is:
sec4x - tan4x - 2 tan2x = (sec2x - tan2x)(sec2x + tan2x) - 2 tan2x
 = 1 ? (sec2x + tan2x) - 2 tan2x = sec2x - tan2x = 1

Mathematics

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