The angle can be described by plotting a terminal side of the angle on a
graph that is rotated clockwise from the horizontal axis.
Reasons:
The angle which shares the same sine value with the required angle = [tex]\displaystyle \frac{5 \cdot \pi}{4}[/tex]
Let θ represent the angle, we have;
[tex]\displaystyle sin(\theta) = \mathbf{ sin\left( \frac{5 \cdot \pi}{4}\right)} = -\frac{\sqrt{2} }{2}[/tex]
Given that the sine of the angle is negative and that the sine of angles in
Quadrant I and Quadrant II are positive, we have that the location of the
angle is in Quadrant III or Quadrant IV.
Therefore, the best option for the location of the angle is; Quadrant IV
Learn more about the Quadrants of the coordinate plane here:
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