In which quadrant does the angle $150^{circ}$ lie in the unit circle?
Answer 1
To determine the quadrant where the angle $150^{\circ}$ lies, we divide the unit circle into four quadrants:
1. Quadrant I:
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^{\circ}$ to $90^{\circ}$
2. Quadrant II: $90^{\circ}$ to $180^{\circ}$
3. Quadrant III: $180^{\circ}$ to $270^{\circ}$
4. Quadrant IV: $270^{\circ}$ to $360^{\circ}$
Since $150^{\circ}$ is between $90^{\circ}$ and $180^{\circ}$, it lies in Quadrant II.
Answer 2
Consider the four quadrants of the unit circle:
1. Quadrant I:
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^{circ} leq heta < 90^{circ}$
2. Quadrant II: $90^{circ} leq heta < 180^{circ}$
3. Quadrant III: $180^{circ} leq heta < 270^{circ}$
4. Quadrant IV: $270^{circ} leq heta < 360^{circ}$
The angle $150^{circ}$ lies in the range $90^{circ} leq 150^{circ} < 180^{circ}$, so it is in Quadrant II.
Answer 3
The angle $150^{circ}$ is between $90^{circ}$ and $180^{circ}$.
Thus, it is in Quadrant II.
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