The coordinates of E is (1/√2,1/√2). Furthermore, none of the alternatives provided are correct.
The question is in Spanish and the question doesn't have the correct option. The English translation is as follows.
Find the coordinates on the unit circle for the line segments whose angle has a value of α=45°.
What is a unit circle?
A circle with a radius of 1 unit is called a unit circle.
How to solve the problem?
The given line is making α=45° with the x-axis and intersects the unit circle at E. Make a perpendicular passing through then we get a right-triangle AEG (as shown in the below figure)
To find the coordinates of E we need to find the lengths EG and AG.
We know that in the right-triangle
AG=AEcos²45° and
EG=AEsin²45°
But AE=1 unit and cos45°=sin45°=(1/√2).
Hence, the coordinates of E are (1/√2,1/√2).
Learn more about Circles here- brainly.com/question/11833983
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