Solution:
We have been asked to find the simplified expression of
I am assuming you meant y=sin(x) from 0 to 2pi? Remember that the maximum and minimum points on the sine graph will occur 1/4 and 3/4 through the cycle, or period and the zeros occur at the beginning, middle and end. So you want to find the distance 1/4 of the way to 2pi and 3/4 of the way to 2pi.
With this information, you can easily calculate your answer:)
<h3>
Answer: Finite Set</h3>
Explanation:
We have a set of x values such that (x-1)(x-2) = 0. Breaking that down leads to either x-1 = 0 or x-2 = 0 through the zero product property. Solving each of those equations gets us x = 1 and x = 2 as the two items in this set.
So the original set your teacher gave you turns into the roster form {1,2}. There are two items in this set and we can see it's a finite set since it does not go on forever. Note that everything in this set is a natural number.