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Verify tan^4x+2tan^2x+1=sec^4x

This is for my trig class, thanks for the help!

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Robert J. | Certified High School AP Calculus and Physics TeacherCertified High School AP Calculus and Ph...
4.6 4.6 (13 lesson ratings) (13)
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tan^4x+2tan^2x+1
= (tan^2x+1)^2
= sec^4x, since tan^2x+1 = sec^2x