SOLUTION: How do I prove that {{{(sinC+cosC-1)/(sinC-cosC+1)=cosC/(sinC+1)}}}?

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Question 1106478: How do I prove that ?
Found 2 solutions by Edwin McCravy, Alan3354:
Answer by Edwin McCravy(20065)   (Show Source): You can put this solution on YOUR website!






Let's multiply the numerators first, then we'll multiply
the denominators, then we'll put them together as a fraction:



use "FOIL":





Simplify





  <-- simplified numerator

-----

Now let's multiply the denominators:



use "FOIL":









  

  <-- simplified denominator

Finally put simplified numerator over simplified denominator:







Edwin
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
How do I prove that ?
-----
Cross multiply.
sin^2 + sin*cos - sin + sin + cos - 1 = sin*cos - cos^2 + cos
sin^2 - 1 = - cos^2
sin^2 + cos^2 = 1
I'm convinced.
====================
Someone might comment on not working on just 1 side.
I've never seen an example where that makes a difference.

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