We have to evaluate the fourth roots of unity.
For each natural number say 'n', there are exactly 'n' nth roots of unity which is expressed in the form as
where k=0,1,2,.... n-1
Since we have to evaluate the fourth root of unity.
Therefore, we take k=0,1,2,3 and n=4
So, we get
Now, For k=0, we get our first root as:
First root = 1
Now, for k=1, we get
(Eulers Formula)
So,
So, second root = i
Now, for k=2, we get
(Eulers Formula)
So,
Third root = -1
Now, for k=3, we get
(Eulers Formula)
So,
So, fourth root = -i
Hence, all the fourth roots of unity are 1, i, -1 and -i
Therefore, option D is correct as all the given roots in option A, B and C are the fourth roots of unity.
The answer I would put would be D.
Answer:
22:6, 33:9
Step-by-step explanation:
Basically, ratios are like fractions so 11:3 can be multiplied by 2 and 3:
11:3 x 2= 22:6
11:3 x 3 = 33:9
Answer:
OMG SAMMMMEEEEE :<
Step-by-step explanation:
Divide 32,096 by two days (2) to get 16,048 people per day visiting the zoo.