Hard Complex E Auestions

Question 1

How to do the proofs

Answer 1

Look at right hand side , see the power of e, and convert left hsnd side in to power of e

Now fsctor stuff out

Look to use the formula ei theta +- e-itheta = cos sin etc

Replace

Question 2

What to always di

Answer 2

Introduce IS and add them together

Here in a case , don’t add 1 again skip 1 make s up yourslef and add then work to manipulate

Question 3

Then when dividing by the complex number , what to ALWAYS DO even if they domt tell you

Answer 3

You must MULTIPLY BY COMPLEX CI JUGATE

Question 4

What is complex conjugate in e form?

Answer 4

It’s e to the MINUS ANGLE , as due to the nature of odd and even function it will cause only the complex part to change sign!

Question 5

Remmeber fir taking the imaginary part

Answer 5

Ignore ALL REAL even if weren’t in equation tk begin with for e

Question 6

When they say show why it can’t be Oruro,y imagisnry what to do

Answer 6

Find the resl parts, and equate WHOLE equation ton0, as for it ti be our leg inagjs ray must ben0

And show how thst for ANY VALUE THETA, yiu Cant equate it to 0 as cos tskes make value from -1 to 1!