How to simplify sqrt(1+tan^2x)?

cvijecimaxym

cvijecimaxym

Answered question

2023-01-06

How to simplify 1+tan2x?

Answer & Explanation

losreanimados9dy

losreanimados9dy

Beginner2023-01-07Added 4 answers

Using:
cos2x+sin2x=1
tanx=sinxcosx
secx=1cosx
We note:
1+tan2x=1+sin2xcos2x
1+tan2x=cos2xcos2x+sin2xcos2x
1+tan2x=cos2x+sin2xcos2x
1+tan2x=1cos2x
1+tan2x=sec2x
1+tan2x=|secx|

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