47. Suppose cote>0 and sec 0 <0. In which quadrant could terminate? (A) Quadrant I (C) Quadrant III (B) Quadrant II (D) Quadrant IV

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Can you explain 47
### Mathematics Practice Problems

#### Problem 47
Suppose cot(θ) > 0 and sec(θ) < 0. In which quadrant could θ terminate?

1. **Quadrant I**
2. **Quadrant II**
3. **Quadrant III**
4. **Quadrant IV**

#### Problem 48
Find the terminal point (x, y) on the unit circle determined by the real number t =

1. \(\left( \frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2} \right)\)
2. \(\left( -\frac{\sqrt{3}}{2}, -\frac{1}{2} \right)\)
3. \(\left( -\frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2} \right)\)
4. \(\left( -\frac{\sqrt{2}}{2}, -\frac{\sqrt{2}}{2} \right)\)
5. \(\left( -\frac{1}{2}, -\frac{\sqrt{3}}{2} \right)\)

#### Additional Problem
d(x) is a linear function with zero x = 9.

1. **None**
2. \(x = 6, x = 18\)
3. \(x = 0\)
4. \(x = 9\)
5. \(x = 6, x = 18, x = 9\)

**Note:** The correct answers have been circled in blue ink in the image for reference.

**Graph/Diagram Description:**
No specific graphs or diagrams are included in the image, only mathematical problems with multiple-choice answers. The circled answers indicate which options have been selected as correct.
Transcribed Image Text:### Mathematics Practice Problems #### Problem 47 Suppose cot(θ) > 0 and sec(θ) < 0. In which quadrant could θ terminate? 1. **Quadrant I** 2. **Quadrant II** 3. **Quadrant III** 4. **Quadrant IV** #### Problem 48 Find the terminal point (x, y) on the unit circle determined by the real number t = 1. \(\left( \frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2} \right)\) 2. \(\left( -\frac{\sqrt{3}}{2}, -\frac{1}{2} \right)\) 3. \(\left( -\frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2} \right)\) 4. \(\left( -\frac{\sqrt{2}}{2}, -\frac{\sqrt{2}}{2} \right)\) 5. \(\left( -\frac{1}{2}, -\frac{\sqrt{3}}{2} \right)\) #### Additional Problem d(x) is a linear function with zero x = 9. 1. **None** 2. \(x = 6, x = 18\) 3. \(x = 0\) 4. \(x = 9\) 5. \(x = 6, x = 18, x = 9\) **Note:** The correct answers have been circled in blue ink in the image for reference. **Graph/Diagram Description:** No specific graphs or diagrams are included in the image, only mathematical problems with multiple-choice answers. The circled answers indicate which options have been selected as correct.
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