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February 24th, 2013, 07:08 PM   #1
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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


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February 24th, 2013, 07:37 PM   #2
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Re: Can't seem to solve...

My first step would be to rewrite the left side as:



Multiply:



Apply Pythagorean identity to numerator:



Reduce:

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February 24th, 2013, 07:38 PM   #3
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Re: Can't seem to solve...

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February 25th, 2013, 07:24 AM   #4
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5(sec x - tan x)(csc x + 1) = 5(sec x - tan x)(sec x + tan x)cot x
= 5(secx - tanx)cot x
= 5 cot x
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