Determine the Quadrant of Multiple Angles on the Unit Circle
Answer 1
Daniel Carter
Given the angles $30^\circ$, $150^\circ$, and $240^\circ$, determine the quadrant each angle lies in on the unit circle.
1. For $30^\circ$, it is in the first quadrant because it is between
txt1
txt1
txt1
^\circ$ and $90^\circ$.
2. For $150^\circ$, it is in the second quadrant because it is between $90^\circ$ and $180^\circ$.
3. For $240^\circ$, it is in the third quadrant because it is between $180^\circ$ and $270^\circ$.
Therefore, $30^\circ$ lies in the first quadrant, $150^\circ$ lies in the second quadrant, and $240^\circ$ lies in the third quadrant.
Answer 2
Emma Johnson
Given the angles $45^circ$, $135^circ$, and $225^circ$, determine the quadrant each angle lies in on the unit circle.
1. For $45^circ$, it is in the first quadrant because it is between
txt2
txt2
txt2
^circ$ and $90^circ$.
2. For $135^circ$, it is in the second quadrant because it is between $90^circ$ and $180^circ$.
3. For $225^circ$, it is in the third quadrant because it is between $180^circ$ and $270^circ$.
Thus, $45^circ$ lies in the first quadrant, $135^circ$ lies in the second quadrant, and $225^circ$ lies in the third quadrant.
Answer 3
Samuel Scott
Given the angles $60^circ$, $120^circ$, and $210^circ$, determine the quadrant each angle lies in on the unit circle.
1. For $60^circ$, it is in the first quadrant.
2. For $120^circ$, it is in the second quadrant.
3. For $210^circ$, it is in the third quadrant.
Hence, $60^circ$ lies in the first quadrant, $120^circ$ lies in the second quadrant, and $210^circ$ lies in the third quadrant.
Start Using PopAi Today