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Prove e^(ix) = cos (x) + isin(x)

We first write each side of the equation using the maclaurin series for each function.

eix = 1 + ix + (ix)2/2! + (ix)3/3! + (ix)4/4! + ......

PM
8297 Views

What is an extended metaphor and how do you build one?

First things first, a metaphor says that one thing literally is another. Some examples you may have heard before... 'raining cats and dogs', 'shooting the messenger', 'the Good Shepher...

KM
14083 Views

Whats the best way to keep my Spanish sharp outside of school?

People rarely enjoy the idea of homework outside of the classroom, but there are ways you can keep your Spanish topped up with minimal effort, whether at home or on holiday. Firstly get into a habit of...

OM
Answered by Oliver M. Spanish tutor
3438 Views

Which tenses do I need to know for my Spanish i/GCSE exam?

For Spanish exams at this level, an A/A* grade requires a solid knowledge of all the indicative tenses so basically, the more you know about the indicative tenses the better. For students expecting or ...

OM
Answered by Oliver M. Spanish tutor
7255 Views

How is an electrical impulse transmitted through the heart?

Contraction of the heart is myogenic meaning it initiates from within the heart muscle itself (myo=muscle, genic= created). Therefore, no extra nerves need to signal the heart t...

RZ
Answered by Rebecca Z. Biology tutor
19342 Views

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