Dr Nick

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About Dr Nick

Levels Tought:
Elementary,Middle School,High School,College,University,PHD

Expertise:
Art & Design,Computer Science See all
Art & Design,Computer Science,Engineering,Information Systems,Programming Hide all
Teaching Since: May 2017
Last Sign in: 48 Weeks Ago, 1 Day Ago
Questions Answered: 19234
Tutorials Posted: 19235

Education

  • MBA (IT), PHD
    Kaplan University
    Apr-2009 - Mar-2014

Experience

  • Professor
    University of Santo Tomas
    Aug-2006 - Present

Category > Geometry Posted 30 Oct 2017 My Price 11.00

How do you prove 1−tanx1+tanx=1−sin2xcos2x ?

 

 

Use the following facts: tanx=sinxcosx

sin2x=2sinxcosx cos2x=cos2xsin2x sin2x+cos2x=1

So you get:

 

1sinxcosx1+sinxcosx=12sinxcosxcos2xsin2x

cosxsinxcosx(cosx)(cosx+sinx)=12sinxcosx(cosxsinx)(cosx+sinx)

Taking: (cosxsinx)

to the left side and using the fact that: sin2x+cos2x=1

(cosxsinx)2=sin2x+cos2x2sinxcosx

which are indeed equals.

Answers

(3)
Status NEW Posted 30 Oct 2017 01:10 PM My Price 11.00

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