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
![**Problem:**
Find the exact value of the expression:
\[
\cos\left(\sin^{-1}\left(\frac{1}{2}\right) + \cot^{-1}\left(\frac{\sqrt{3}}{3}\right)\right)
\]
**Solution box:**
[Empty box for the answer]
**Additional Options:**
- Need Help? [Button: Read It]
**Explanation:**
The expression involves finding the cosine of the sum of two inverse trigonometric functions: \(\sin^{-1}\left(\frac{1}{2}\right)\) and \(\cot^{-1}\left(\frac{\sqrt{3}}{3}\right)\).
The answer is written as \(32\), although it seems incorrect for this context, as the value of such an expression should lie between -1 and 1. It could be a placeholder or a calculation error.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc8e344b6-cc85-4f7c-84d6-97b14ac79e6d%2Ffdfc7ee5-79c5-4a1b-9eb9-9abdea50f8eb%2Fh1gyakr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem:**
Find the exact value of the expression:
\[
\cos\left(\sin^{-1}\left(\frac{1}{2}\right) + \cot^{-1}\left(\frac{\sqrt{3}}{3}\right)\right)
\]
**Solution box:**
[Empty box for the answer]
**Additional Options:**
- Need Help? [Button: Read It]
**Explanation:**
The expression involves finding the cosine of the sum of two inverse trigonometric functions: \(\sin^{-1}\left(\frac{1}{2}\right)\) and \(\cot^{-1}\left(\frac{\sqrt{3}}{3}\right)\).
The answer is written as \(32\), although it seems incorrect for this context, as the value of such an expression should lie between -1 and 1. It could be a placeholder or a calculation error.
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