Levels Tought:
Elementary,Middle School,High School,College,University,PHD
Teaching Since: | May 2017 |
Last Sign in: | 241 Weeks Ago, 6 Days Ago |
Questions Answered: | 19234 |
Tutorials Posted: | 19224 |
MBA (IT), PHD
Kaplan University
Apr-2009 - Mar-2014
Professor
University of Santo Tomas
Aug-2006 - Present
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Use the following facts: tanx=sinxcosx
sin2x=2sinxcosx cos2x=cos2x−sin2x sin2x+cos2x=1
So you get:
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1−sinxcosx1+sinxcosx=1−2sinxcosxcos2x−sin2x
cosx−sinxcosx⋅(cosx)(cosx+sinx)=1−2sinxcosx(cosx−sinx)(cosx+sinx)
Taking: (cosx−sinx)
to the left side and using the fact that: sin2x+cos2x=1
(cosx−sinx)2=sin2x+cos2x−2sinxcosx
which are indeed equals.
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