wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Is tan2x=sec2x-1 an identity?


Open in App
Solution

Prove 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

rearranging the terms,

sec2x-1=tan2x

Hence, tan2x=sec2x-1 is an identity.


flag
Suggest Corrections
thumbs-up
7
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Algebraic Operations
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon