In which quadrant does the terminal side of the angle 387° lie?
quadrant i
o quadrant ii
quadrant iii
quadrant iv

The answer is:

The terminal side of the angle 387° lies at the Quadrant I.

We know that there are four quadrants on the plane, those quadrants goes from 0° to 360°, however, since the quadrant is going only from 0° to 360°, if we want to know where an angle greater than 360° is located, we need to take only the excess, so:

We are asked to find where the angle 387° is located, we can write the angle by the following way:

So, we have that there are 27° more than 360°, if we want to find where the 367° we only need to locate where the excess (27°) angle is located.

Also, we know that:

Quadrant I: 0° to 90°

Quadrant II: 90° to 180°

Quadrant III: 180° to 270°

Quadrant IV: 270° to 360°

We have that 27° is between 0° and 90°, so, it's located on the first quadrant.

Hence, we have that the angle 367° is located at the Quadrant I.

Have a nice day!