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January 28th, 2011, 05:41 PM   #1
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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!"
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January 28th, 2011, 05:51 PM   #2
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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

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January 28th, 2011, 06:05 PM   #3
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Re: Trigonomic Identity!! Driving me CRAZY

Quote:
Originally Posted by MarkFL


Divide numerator and denominator by


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?
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January 28th, 2011, 06:09 PM   #4
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Re: Trigonomic Identity!! Driving me CRAZY

If we do this division, then we get the expression into the required form.

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