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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Question
18
![**Instruction:**
Choose the correct graph by clicking.
**Given:**
\[
\cos \theta = -\frac{8}{17}
\]
and \(\sin \theta\) is negative.
**Graph Description:**
The graph is set on a coordinate plane with \(x\)- and \(y\)-axes. It includes:
- A circle centered at the origin, marked by an angle labeled \(\theta\).
- An arrow indicating the angle \(\theta\) in a clockwise direction starting from the positive x-axis.
- A blue arc showing the angle’s measure.
- The terminal side of angle \(\theta\) lies in the third quadrant, as the line segment with an arrowhead extends from the origin into this quadrant.
- The bold negative arrows on the x- and y-axes indicate the direction of negative values along these axes.
This indicates a scenario where \(\cos \theta\) is negative and \(\sin \theta\) is also negative, situating the angle \(\theta\) in the third quadrant of the Cartesian plane.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F15c0289e-b23f-418e-a8b2-cf871bb33bb5%2F451b5fcb-36ce-4207-a0cd-e0d4fc0e8248%2Fgh91ai_processed.png&w=3840&q=75)
Transcribed Image Text:**Instruction:**
Choose the correct graph by clicking.
**Given:**
\[
\cos \theta = -\frac{8}{17}
\]
and \(\sin \theta\) is negative.
**Graph Description:**
The graph is set on a coordinate plane with \(x\)- and \(y\)-axes. It includes:
- A circle centered at the origin, marked by an angle labeled \(\theta\).
- An arrow indicating the angle \(\theta\) in a clockwise direction starting from the positive x-axis.
- A blue arc showing the angle’s measure.
- The terminal side of angle \(\theta\) lies in the third quadrant, as the line segment with an arrowhead extends from the origin into this quadrant.
- The bold negative arrows on the x- and y-axes indicate the direction of negative values along these axes.
This indicates a scenario where \(\cos \theta\) is negative and \(\sin \theta\) is also negative, situating the angle \(\theta\) in the third quadrant of the Cartesian plane.
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