SOLUTION: Prove the identity {{{1 + 1/cosx=tan^2x/secx-1}}}

Algebra.Com
Question 1040747: Prove the identity
AMP Parsing Error of [1 + 1/cosx=tan^2x/secx-1]: Invalid function '\x/secx-1': opening bracket expected at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 70. .
Found 2 solutions by Edwin McCravy, robertb:
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!



Work with the right side



Use the identity 
solved for 




Factor the numerator as the difference of two squares:



Cancel the (sec(x)-1)'s:





Use the identity 



Use the commutative property:



Edwin
Answer by robertb(5830)   (Show Source): You can put this solution on YOUR website!

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