Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section4.CT: Chapter Test
Problem 11CT
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![### Problem Statement
Manipulate ln|sec x + tan x| so that it is expressed as a difference of logs.
### Explanation
In this problem, we are asked to manipulate the given logarithmic expression involving trigonometric functions so that it is expressed as a difference of logarithmic functions. Specifically, the expression is:
\[ \ln | \sec x + \tan x | \]
We aim to transform this into an expression that showcases the difference between two logarithmic terms. This involves using logarithmic properties and potentially trigonometric identities to achieve the desired form. Let's walk through the steps to solve this problem.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2c3cb84f-a2da-429c-9f5f-2f246d590622%2Fa375a6d3-b7be-41e7-9169-83d9baab4cb8%2Ft8mahj_processed.png&w=3840&q=75)
Transcribed Image Text:### Problem Statement
Manipulate ln|sec x + tan x| so that it is expressed as a difference of logs.
### Explanation
In this problem, we are asked to manipulate the given logarithmic expression involving trigonometric functions so that it is expressed as a difference of logarithmic functions. Specifically, the expression is:
\[ \ln | \sec x + \tan x | \]
We aim to transform this into an expression that showcases the difference between two logarithmic terms. This involves using logarithmic properties and potentially trigonometric identities to achieve the desired form. Let's walk through the steps to solve this problem.
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