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
what is the value of the following function?
![### Trigonometric Expression Evaluation
**Expression:**
\[ \cos(130^\circ)\cos(10^\circ) + \sin(130^\circ) \sin(10^\circ) \]
**Multiple Choice Answers:**
1. \[ \frac{\sqrt{3}}{2} \]
(circle option)
2. \[ -\frac{1}{2} \]
(circle option)
3. \[ \frac{-\sqrt{3}}{2} \]
(circle option)
4. \[ \frac{1}{2} \]
(circle option)
5. \[ \frac{\sqrt{2}}{4} \]
(circle option)
**Instructions:**
To solve this trigonometric expression, you need to use the angle sum formula for cosine:
\[ \cos(A + B) = \cos(A)\cos(B) - \sin(A)\sin(B) \]
Rewrite the expression accordingly and select the correct answer from the given options.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffd95c06f-a3ea-4120-9338-f910c4caee1b%2Fc1c2da65-96f8-4a7b-b782-519696fdef9a%2Fjl46jjk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Trigonometric Expression Evaluation
**Expression:**
\[ \cos(130^\circ)\cos(10^\circ) + \sin(130^\circ) \sin(10^\circ) \]
**Multiple Choice Answers:**
1. \[ \frac{\sqrt{3}}{2} \]
(circle option)
2. \[ -\frac{1}{2} \]
(circle option)
3. \[ \frac{-\sqrt{3}}{2} \]
(circle option)
4. \[ \frac{1}{2} \]
(circle option)
5. \[ \frac{\sqrt{2}}{4} \]
(circle option)
**Instructions:**
To solve this trigonometric expression, you need to use the angle sum formula for cosine:
\[ \cos(A + B) = \cos(A)\cos(B) - \sin(A)\sin(B) \]
Rewrite the expression accordingly and select the correct answer from the given options.
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