(Quadrants) Given an angle in radians that is in the interval (0, 27), we will say that it is in the first quadrant if it is in the interval (0, 5), the second quadrant if it is in the interval [5, 7), the third quadrant if it is in the interval [7, ), and the fourth quadrant if it is in the interval (, 27). which_quadrant Function: Input variables: • a scalar representing an angle in radians in the interval (0, 2m) Output variables: • a string which contains XX is in the first quadrant or XX is in the second quadrant or XX is in the third quadrant or XX is in the fourth quadrant where XX is the floating-point representation of the angle LA possible sample case is: > » quadrant = quadrant which_quadrant(pi/4) = 0.785398 is in the first quadrant

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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**Quadrants in Radian Measure**

Given an angle in radians that lies within the interval \([0, 2\pi)\), we define the quadrants as follows:
- **First Quadrant:** \( [0, \frac{\pi}{2}) \)
- **Second Quadrant:** \( [\frac{\pi}{2}, \pi) \)
- **Third Quadrant:** \( [\pi, \frac{3\pi}{2}) \)
- **Fourth Quadrant:** \( [\frac{3\pi}{2}, 2\pi) \)

**which_quadrant Function**

**Input Variables:**
- A scalar representing an angle in radians within the interval \([0, 2\pi)\).

**Output Variables:**
- A string which states:
  - "XX is in the first quadrant"
  - "XX is in the second quadrant"
  - "XX is in the third quadrant"
  - "XX is in the fourth quadrant"

where \( XX \) is the floating-point representation of the angle.

**Sample Case:**
```plaintext
>> quadrant = which_quadrant(pi/4)
quadrant = 0.785398 is in the first quadrant
```
Transcribed Image Text:**Quadrants in Radian Measure** Given an angle in radians that lies within the interval \([0, 2\pi)\), we define the quadrants as follows: - **First Quadrant:** \( [0, \frac{\pi}{2}) \) - **Second Quadrant:** \( [\frac{\pi}{2}, \pi) \) - **Third Quadrant:** \( [\pi, \frac{3\pi}{2}) \) - **Fourth Quadrant:** \( [\frac{3\pi}{2}, 2\pi) \) **which_quadrant Function** **Input Variables:** - A scalar representing an angle in radians within the interval \([0, 2\pi)\). **Output Variables:** - A string which states: - "XX is in the first quadrant" - "XX is in the second quadrant" - "XX is in the third quadrant" - "XX is in the fourth quadrant" where \( XX \) is the floating-point representation of the angle. **Sample Case:** ```plaintext >> quadrant = which_quadrant(pi/4) quadrant = 0.785398 is in the first quadrant ```
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