Prove problem involving sec cos sin

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The discussion revolves around proving the identity (sec(x) - cos(x)) / (sec(x) + cos(x)) = (sin^2(x)) / (1 + cos^2(x)). Participants suggest rewriting sec(x) as 1/cos(x) to simplify the problem. They recommend combining terms in both the numerator and denominator by finding a common denominator. The focus is on step-by-step guidance to ensure clarity in the solution process. Ultimately, the thread aims to help users understand the proof through detailed explanations.
MathRaven
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Hi guys been struggling to solve this
If you know how to do it, please do solve and show work so that I can follow your steps


Homework Statement



prove (sec(x)-cos(x))/(sec(x)+cos(x))=(sin^2(x))/(1+cos^2(x))
 
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sec(x) = 1/cos(x). So, write both secant terms in this way. Then, separately in both the numerator and the denominator, combine the two terms by finding their common denominator. What do you end up with?
 

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