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February 28th, 2018, 03:00 AM   #1
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Simplify Trigonometric Quotient

I have a hard time simplifying a math problem.

(cosx+cos2x+cos3x) / (sinx+sin2x+sin3x) (and xeR)

Can somebody help me out with this?

Last edited by skipjack; February 28th, 2018 at 08:28 PM.
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February 28th, 2018, 04:55 PM   #2
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Try reducing everything to combinations of sinx and cosx.
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February 28th, 2018, 07:22 PM   #3
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cot(2x), using the identities found here.

Last edited by greg1313; February 28th, 2018 at 07:35 PM.
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February 28th, 2018, 08:25 PM   #4
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cos(x) + cos(2x) + cos3x)    cos(2x) + 2cos(2x)cos(x)
------------------------- = ------------------------- = cot(2x)
 sin(x) + sin(2x) + sin(3x)      sin(2x) + 2sin(2x)cos(x)
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