Solve : [tex]\left(\frac{-1-i}{\sqrt{2}}\right)^{100}[/tex]
Share
Solve : [tex]\left(\frac{-1-i}{\sqrt{2}}\right)^{100}[/tex]
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Verified answer
SOLUTION :
We can write it like this,
HENCE OUR REQUIRED ANSWER IS -1.
Answer:
Step-by-step explanation:
Complex numbers:-
We are provided with a complex number.
We know,cos45°=sin45°=1/✓2
We convert the given complex number into polar form.
Then we apply De Moivre's theorem.
De Moivre's theorem:-
(cosø+isinø)^n=cosnø+isinnø
cos25π=-1,sin25π=0
Hence, answer is -1