An angle's quadrant is ascertained based on its degree measurement in the standard position, which ranges from 0 to 360 degrees. The first quadrant encompasses 0-90 degrees, the second quadrant covers 90-180 degrees, the third quadrant spans 180-270 degrees, and the fourth quadrant accounts for 270-360 degrees. This method assists in pinpointing the location of the angle on the Cartesian coordinate system.
| Topic | Problem | Solution |
|---|---|---|
| None | For the rotation $-652^{\circ}$, find the cotermi… | Given the angle is -652 degrees. |
| None | Identify the quadrant or quadrants for the angles… | The sine of an angle is positive in the first and second quadrants. |
| None | Identify all possible quadrants of an angle $\the… | The cosine of an angle is zero when the angle is \(\frac{\pi}{2}\) or \(\frac{3\pi}{2}\) (90 or 270… |
| None | Find the coordinates of the point at $1426^{\circ… | The problem is asking for the coordinates of a point on a circle after rotating 1426 degrees around… |
| None | The angle \( 70^{\circ} \) is shown on the unit c… | 1. \( 70^\circ \) is in Quadrant I, so consider the Quadrant II angle with the same sin value: \( 1… |