Use the fundamental identities and appropriate algebraic operations to simplify each expression. tan ²x-12 tanx-13 tan x + 1 tan ²x-12 tanx - 13 tan x + 1 (Simplify your answer Use integers or fractions for any numbers in the expression =

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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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.
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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