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February 24th, 2013, 07:08 PM  #1 
Senior Member Joined: Aug 2012 From: South Carolina Posts: 866 Thanks: 0  Can't seem to solve...
I have spent an hour with the following problem and can get nowhere with it. Somewhere I am missing a big step or something PROBLEM STATES TO VERIFY ALGEBRAICALLY: 5(sec x  tan x)(csc x + 1) = 5 cot x 
February 24th, 2013, 07:37 PM  #2 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 520 Math Focus: Calculus/ODEs  Re: Can't seem to solve...
My first step would be to rewrite the left side as: Multiply: Apply Pythagorean identity to numerator: Reduce: 
February 24th, 2013, 07:38 PM  #3 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,929 Thanks: 1124 Math Focus: Elementary mathematics and beyond  Re: Can't seem to solve... 
February 25th, 2013, 07:24 AM  #4 
Global Moderator Joined: Dec 2006 Posts: 20,469 Thanks: 2038 
5(sec x  tan x)(csc x + 1) = 5(sec x  tan x)(sec x + tan x)cot x = 5(sec²x  tan²x)cot x = 5 cot x 