3. The angle whose terminal side passes through $$ \left(\frac{\sqrt{3}}{2},-\frac{1}{2}\right) $$ is in the ___ quadrant.

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The point $$ \left(\frac{\sqrt{3}}{2}, -\frac{1}{2}\right) $$ has the following coordinates: - **$$ x = \frac{\sqrt{3}}{2} $$**: This is positive. - **$$ y = -\frac{1}{2} $$**: This is negative. Based on the signs of the coordinates: - **Quadrant I**: $$ x > 0 $$ and $$ y > 0 $$ - **Quadrant II**: $$ x < 0 $$ and $$ y > 0 $$ - **Quadrant III**: $$ x < 0 $$ and $$ y < 0 $$ - **Quadrant IV**: $$ x > 0 $$ and $$ y < 0 $$ Since $$ x $$ is positive and $$ y $$ is negative, the angle lies in **Quadrant IV**. **Answer:** Quadrant IV The angle is in Quadrant IV.

The angle whose terminal side passes through is in the ___ quadrant.

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