How to simplify sec^4x-tan^4x?

Kason Wong

Kason Wong

Answered question

2022-12-30

How to simplify sec4xtan4x?

Answer & Explanation

Weston Vargas

Weston Vargas

Beginner2022-12-31Added 9 answers

sec4xtan4x=(sec2xtan2x)(sec2x+tan2x)
Since
(sec2xtan2x)=[(1cos2x(sin2xcos2x)]=
=1sin2xcos2x=cos2xcos2x=1,
there for;
sec4xtan4x=sec2x+tan2x
Reminder: sec2x=(1+tan2x)
Finally,
sec4xtan4x=1+2tan2x

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