Thursday, February 4, 2010

Verify that tan(2x) = 2sinxcosxsec(2x)



To verify this identity, simplify the right side of the equation until it matches the left side.


(1) This verification will include the Double Angle formula:


 


(2) This verification will include the Reciprocal Identity:



(3) The verification will include the Quotient Identity:




Here are the steps.



    [Using the Double Angle Formula]


      [Using the Reciprocal Identity]



                  [Using the Quotient Identity]

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