How do you simplify 1+tan2x?

1 Answer
Jan 13, 2017

1+tan2x=|secx|

Explanation:

Using:

cos2x+sin2x=1

tanx=sinxcosx

secx=1cosx

we find:

1+tan2x=1+sin2xcos2x

1+tan2x=cos2xcos2x+sin2xcos2x

1+tan2x=cos2x+sin2xcos2x

1+tan2x=1cos2x

1+tan2x=sec2x

1+tan2x=|secx|