Taylor Expansion Watch

Eremor
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#1
Report Thread starter 3 years ago
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Hey there.

I'm having some problems with Taylor Expansions. The question is

Use a Taylor series to show that cot(100) is approximately equal to −π/18.
I don't really know what to do. Initially I thought I could do series about cot 100 but that isnt going to work I dont think? I cant just use the expansion about zero can I because thats meant to only be valid for a small x?

Any help is much appreciated.

Ere
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atsruser
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Report 3 years ago
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I'm guessing that this is meant to be \cot 100^{\circ} \approx -\frac{\pi}{18}.

If so, then:

1. look up an appropriate cot/tan identity with the angle in degrees
2. consider the first few terms of the Taylor series for tan, once you've converted to radians.
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