Complex Numbers Help (1 Viewer)

RealiseNothing · Nov 2, 2011

You have to show the above. Thanks in advance for whoever helps.

D94 · Nov 2, 2011

AAEldar · Nov 2, 2011

$RHS=2^n \cos^n{\frac{\theta}{2}}( \cos(n)\frac{\theta}{2}+i \sin(n)\frac{\theta}{2}) \\\\ =[2 \cos\frac{\theta}{2}( \cos\frac{\theta}{2}+i \sin\frac{\theta}{2})]^n \\\\ =(2 \cos^2\frac{\theta}{2}+2i \cos\frac{\theta}{2} \sin\frac{\theta}{2}) \\\\ =( \cos\theta+1+i\sin\theta)^n \\\\ =LHS$

I was beaten D:

However I start with the RHS, while D94 starts with the left.

RealiseNothing · Nov 2, 2011

Thanks guys, much appreciated.

Richard Llyod · Nov 2, 2011

RealiseNothing said:
Thanks guys, much appreciated.

Do you Realise Nothing?

RealiseNothing · Nov 3, 2011

Richard Llyod said:
Do you Realise Nothing?

Most of the time, yes.

Make a Difference – Donate to Bored of Studies!

Complex Numbers Help (1 Viewer)

RealiseNothing

what is that?It is Cowpea

D94

New Member

AAEldar

Premium Member

RealiseNothing

what is that?It is Cowpea

Richard Llyod

Member

RealiseNothing

what is that?It is Cowpea

Users Who Are Viewing This Thread (Users: 0, Guests: 1)