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January 28th, 2011, 06:41 PM  #1 
Newbie Joined: Nov 2010 Posts: 9 Thanks: 0  Trigonomic Identity!! Driving me CRAZY
Sin^2?+2cos?1..........1  =  2+cos?cos^2?........1+sec? I've been at it for 2 days and I can't friggen get it! Please help DX (The "....." is meant to show the gap between fractions, the forum ignores numerous spaces!" 
January 28th, 2011, 06:51 PM  #2 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,206 Thanks: 513 Math Focus: Calculus/ODEs  Re: Trigonomic Identity!! Driving me CRAZY
Let's start with the left side: Use the Pythagorean identity in the numerator, i.e Collect like terms: Factor numerator and denominator: Divide out common factors: Divide numerator and denominator by 
January 28th, 2011, 07:05 PM  #3  
Newbie Joined: Nov 2010 Posts: 9 Thanks: 0  Re: Trigonomic Identity!! Driving me CRAZY Quote:
Can you please elaborate on this step? Why are we dividing Num and Denom by Cos theta? And how does that turn it into Sec theta?  
January 28th, 2011, 07:09 PM  #4 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,206 Thanks: 513 Math Focus: Calculus/ODEs  Re: Trigonomic Identity!! Driving me CRAZY
If we do this division, then we get the expression into the required form. 

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