Trigonometry (11th Edition)
11th Edition
ISBN: 9780134217437
Author: Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher: PEARSON
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![**Simplifying Trigonometric Expressions**
Use the fundamental identities and appropriate algebraic operations to simplify the expression below:
\[
\frac{\tan^2 x - 12 \tan x - 13}{\tan x + 1}
\]
---
Simplify the expression:
\[
\frac{\tan^2 x - 12 \tan x - 13}{\tan x + 1} = \_\_\_
\]
(Simplify your answer. Use integers or fractions for any numbers in the expression.)
**Explanation:**
- The given expression involves the tangent function and requires the application of algebraic techniques such as factoring or using identities to simplify.
- Make sure to check for any opportunities to factor the numerator, as it is a quadratic expression.
**Note:**
The ellipsis (three dots) between the expressions represents a separator and does not imply any operation.](https://content.bartleby.com/qna-images/question/bcea6d79-c0c2-49cd-aa31-c3eca199518f/653de8f5-6ca0-49f1-9dce-1eae0a790daa/3crmzqr_processed.png)
Transcribed Image Text:**Simplifying Trigonometric Expressions**
Use the fundamental identities and appropriate algebraic operations to simplify the expression below:
\[
\frac{\tan^2 x - 12 \tan x - 13}{\tan x + 1}
\]
---
Simplify the expression:
\[
\frac{\tan^2 x - 12 \tan x - 13}{\tan x + 1} = \_\_\_
\]
(Simplify your answer. Use integers or fractions for any numbers in the expression.)
**Explanation:**
- The given expression involves the tangent function and requires the application of algebraic techniques such as factoring or using identities to simplify.
- Make sure to check for any opportunities to factor the numerator, as it is a quadratic expression.
**Note:**
The ellipsis (three dots) between the expressions represents a separator and does not imply any operation.
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