√6 √6 For the rectangular coordinates (a) plot the point and (b) give two pairs of polar 1 2 2 coordinates for the point, where 0° ≤0< 360°. √6 √6 (a) Choose the correct plot of - 2 2 OA. B. D. Ay Q X Q Q (b) Give two pairs of polar coordinates for the point, where 0° ≤0< 360°. (Type an ordered pair. Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression. Type your answer in degrees. Do not include the degree symbol in your answer. Use a comma to separate answers as needed.) below. C.

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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### Polar and Rectangular Coordinates

For the rectangular coordinates \(\left( \frac{\sqrt{6}}{2}, -\frac{\sqrt{6}}{2} \right)\):

**(a) Plot the Point**

Choose the correct plot of \(\left( \frac{\sqrt{6}}{2}, -\frac{\sqrt{6}}{2} \right)\) from the options below:

- **Option A:** This graph shows a point plotted in the first quadrant.
- **Option B:** This graph shows a point plotted in the fourth quadrant. **[Correct]**
- **Option C:** This graph shows a point plotted in the second quadrant.
- **Option D:** This graph shows a point plotted in the third quadrant.

**(b) Give two pairs of polar coordinates for the point, where \(0^\circ \leq θ < 360^\circ\)**.

- **Answer Box:** [___]

(Type an ordered pair. Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression. Type your answer in degrees. Do not include the degree symbol in your answer. Use a comma to separate answers as needed.)

---

**Explanation of Graphical Elements:**

- **Coordinate Plane:** Each graph shown above is a standard Cartesian coordinate plane with axes labeled \(x\) and \(y\). The scales on both axes range from -2 to 2.
- **Plotted Point:** Each graph has a blue dot representing a point in different quadrants on the coordinate plane.

---

This transcription provides context and instructions for plotting and identifying the correct point on a Cartesian plane, along with a prompt to convert the given rectangular coordinates into polar coordinates.
Transcribed Image Text:--- ### Polar and Rectangular Coordinates For the rectangular coordinates \(\left( \frac{\sqrt{6}}{2}, -\frac{\sqrt{6}}{2} \right)\): **(a) Plot the Point** Choose the correct plot of \(\left( \frac{\sqrt{6}}{2}, -\frac{\sqrt{6}}{2} \right)\) from the options below: - **Option A:** This graph shows a point plotted in the first quadrant. - **Option B:** This graph shows a point plotted in the fourth quadrant. **[Correct]** - **Option C:** This graph shows a point plotted in the second quadrant. - **Option D:** This graph shows a point plotted in the third quadrant. **(b) Give two pairs of polar coordinates for the point, where \(0^\circ \leq θ < 360^\circ\)**. - **Answer Box:** [___] (Type an ordered pair. Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression. Type your answer in degrees. Do not include the degree symbol in your answer. Use a comma to separate answers as needed.) --- **Explanation of Graphical Elements:** - **Coordinate Plane:** Each graph shown above is a standard Cartesian coordinate plane with axes labeled \(x\) and \(y\). The scales on both axes range from -2 to 2. - **Plotted Point:** Each graph has a blue dot representing a point in different quadrants on the coordinate plane. --- This transcription provides context and instructions for plotting and identifying the correct point on a Cartesian plane, along with a prompt to convert the given rectangular coordinates into polar coordinates.
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