How do you simplify √1+tan2x?
1 Answer
Jan 13, 2017
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|