Is tan^2 x=sec^2 x-1 an identity?

intrigahQNn

intrigahQNn

Answered question

2022-11-24

Is tan2x=sec2x-1 an identity?

Answer & Explanation

Alma Garner

Alma Garner

Beginner2022-11-25Added 15 answers

Establish the identity:
We know that, sin2x+cos2x=1
Divide the equation by cos2x.
sin2xcos2x+cos2xcos2x=1cos2x
Since, sinxcosx=tanx,and 1cosx=secx
tan2x+1=sec2x
shifting the terms,
sec2x-1=tan2x
Therefore, tan2x=sec2x-1 is an identity.

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