Answer:
1 is Answer.
Step-by-step explanation
[tex]\frac{1}{1+omega^{2} } + \frac{1}{1+omega }\\[/tex]
= [tex]\frac{(-1)*(omega + 1)}{omega^{2} }[/tex]
As we know that ω²+ω+1=0
Thus putting in above equation, we get
= [tex]\frac{1}{(-1)*omega } + \frac{1}{(-1)*omega^{2} }[/tex]
Rearranging and simplifying:
= [tex]\frac{-1}{omega } + \frac{-1}{omega^{2} }[/tex]
= [tex]\frac{(-1)*(omega + 1)}{omega^{2} }[/tex]
= [tex]\frac{(-1)*(- omega^{2} )}{omega^{2} }[/tex]
= 1 Answer
