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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.

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

Answered by Pavan M. • Further Mathematics tutor

8079 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...

Answered by Oliver M. • Spanish tutor

3361 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...

Answered by Rebecca Z. • Biology tutor

19065 Views

Don't know how to write a good essay?

I am a History Undergraduate at Durham and studied History A Level at City of London School for Girls, giving me a pretty good idea of how to both write, and teach others to write a good essay. I won t...

Answered by Hannah C. • History tutor

3789 Views

Why did the Romanov dynasty collapse in 1917?

To access the higher levels, you should show the examiner that you are able to categorise the main factors behind the fall of the Romanov dynasty. Firstly, remember that t...

Answered by Kate M. • History tutor

71169 Views