SOLUTION: Find the polar representation of Z= Cosa+Sina+i(Sina-Cosa) where a<[0, 2&#960;)

To find the argument ,



Write  as 



Cross-multiply

 

 

Rearrange the equation:

 

 

  



Divide both sides by 





, 

, 

To find the modulus or absolute value r:







Using the identity cosine² + sine² = 1, the right side is just 2

r² = 2

r = √2 

Polar forms:

√2[cos() + i·sin()]

√2[cos() + i·sin()]

Edwin