11% Choose the figure that shows an angle of radians in standard position, then state in which quadrant the angle lies. 3 Choose the correct answer below. OA OB. Oc. Based on the figure, the given angle lies in which quadrant? Quadrant II Quadrant III O Quadrant I O Quadrant IV O o 0 o

Algebra and Trigonometry (6th Edition)
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Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Question:**
Choose the figure that shows an angle of \( \frac{11\pi}{3} \) radians in standard position, then state in which quadrant the angle lies.

Choose the correct answer below:
- Option A
- Option B
- Option C
- Option D (correct)

**Diagrams:**
Each option (A-D) presents a unit circle with an arrow starting from the positive x-axis, indicating the terminal side of the angle after proper rotation. A dashed circular arrow indicates the direction of rotation.

**Detailed Description:**

- **Option A:** The arrow points to an angle ending in the second quadrant.
- **Option B:** The arrow points to an angle ending in the first quadrant.
- **Option C:** The arrow points to an angle ending in the second quadrant.
- **Option D:** The arrow shows the angle ending in the first quadrant, which is the correct choice. It reflects the angle resulting from multiple rotations around the circle, specifically ending at an angle with a smaller equivalent angle of \(\frac{2\pi}{3}\).

**Based on the figure, the given angle lies in which quadrant?**

- Quadrant II
- Quadrant III
- Quadrant I
- Quadrant IV (correct)
Transcribed Image Text:**Question:** Choose the figure that shows an angle of \( \frac{11\pi}{3} \) radians in standard position, then state in which quadrant the angle lies. Choose the correct answer below: - Option A - Option B - Option C - Option D (correct) **Diagrams:** Each option (A-D) presents a unit circle with an arrow starting from the positive x-axis, indicating the terminal side of the angle after proper rotation. A dashed circular arrow indicates the direction of rotation. **Detailed Description:** - **Option A:** The arrow points to an angle ending in the second quadrant. - **Option B:** The arrow points to an angle ending in the first quadrant. - **Option C:** The arrow points to an angle ending in the second quadrant. - **Option D:** The arrow shows the angle ending in the first quadrant, which is the correct choice. It reflects the angle resulting from multiple rotations around the circle, specifically ending at an angle with a smaller equivalent angle of \(\frac{2\pi}{3}\). **Based on the figure, the given angle lies in which quadrant?** - Quadrant II - Quadrant III - Quadrant I - Quadrant IV (correct)
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