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In which quadrant does the angle $150^{circ}$ lie in the unit circle?

Answer 1

Abigail Nelson

Chloe Evans

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

Alex Thompson

Michael Moore

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

Amelia Mitchell

Christopher Garcia

The angle $150^{circ}$ is between $90^{circ}$ and $180^{circ}$.

Thus, it is in Quadrant II.