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Name the quadrant in which the angle θ lies calculator

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Final answer:

To determine the quadrant in which an angle θ lies, consider the signs of the x-coordinate and y-coordinate.

Step-by-step explanation:

In order to determine the quadrant in which an angle θ lies, we need to consider the signs of the x-coordinate and y-coordinate of the point on the unit circle determined by the angle.

If the x-coordinate is positive and the y-coordinate is positive, then the angle θ lies in the first quadrant. If the x-coordinate is negative and the y-coordinate is positive, then the angle θ lies in the second quadrant.

If the x-coordinate is negative and the y-coordinate is negative, then the angle θ lies in the third quadrant. If the x-coordinate is positive and the y-coordinate is negative, then the angle θ lies in the fourth quadrant.

User Prajwal Udupa
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