Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
#12
![### Problem Statement
**Objective:** Find a cofunction with the same value as the given expression.
**Given Expression:**
\[ \tan \frac{\pi}{3} \]
---
### Solution
The answer is: \[ \_\_\_ \]
*(Simplify your answer. Type an exact answer in terms of \(\pi\). Use integers or fractions for any numbers in the expression.)*
### Explanation:
To solve this problem, recall that cofunctions of complementary angles are equal:
- \(\tan(\theta) = \cot\left(\frac{\pi}{2} - \theta\right)\)
Thus, for \(\tan \frac{\pi}{3}\), find its cofunction \(\cot\left(\frac{\pi}{2} - \frac{\pi}{3}\right)\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F14d31ce7-166c-41aa-bd50-df35864777e7%2F59a8cc5e-a643-43d0-88f8-9d0971d2a082%2Fq18cqh5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Problem Statement
**Objective:** Find a cofunction with the same value as the given expression.
**Given Expression:**
\[ \tan \frac{\pi}{3} \]
---
### Solution
The answer is: \[ \_\_\_ \]
*(Simplify your answer. Type an exact answer in terms of \(\pi\). Use integers or fractions for any numbers in the expression.)*
### Explanation:
To solve this problem, recall that cofunctions of complementary angles are equal:
- \(\tan(\theta) = \cot\left(\frac{\pi}{2} - \theta\right)\)
Thus, for \(\tan \frac{\pi}{3}\), find its cofunction \(\cot\left(\frac{\pi}{2} - \frac{\pi}{3}\right)\).
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