Question #54eff

1 Answer
May 15, 2017

Use definition of tangent and Pythagorean's identity
Answer: sin2x

Explanation:

Simplify 1sin2xtan2x

Note that tanx=sinxcosx

We can substitute tan2x=sin2xcos2x
=1sin2xsin2xcos2x
=1sin2xcos2xsin2x
=1cos2x

Consider the Pythagorean identity:
sin2x+cos2x=1
we can rearrange to get:
sin2x=1cos2x

Therefore,
=sin2x