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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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---

**Problem 7**

Simplify to the sine, cosine, or tangent of a single exact angle:

\[
\frac{\tan \frac{\pi}{6} - \tan \frac{\pi}{7}}{1 + \tan \frac{\pi}{6} \tan \frac{\pi}{7}}
\]

---

This problem asks you to simplify a trigonometric expression involving tangent functions into a single trigonometric function (sine, cosine, or tangent) of an exact angle. The expression given is a fraction that uses the tangent subtraction formula. There are no graphs or diagrams accompanying this text.
Transcribed Image Text:Sure! Here is a transcription of the text from the image: --- **Problem 7** Simplify to the sine, cosine, or tangent of a single exact angle: \[ \frac{\tan \frac{\pi}{6} - \tan \frac{\pi}{7}}{1 + \tan \frac{\pi}{6} \tan \frac{\pi}{7}} \] --- This problem asks you to simplify a trigonometric expression involving tangent functions into a single trigonometric function (sine, cosine, or tangent) of an exact angle. The expression given is a fraction that uses the tangent subtraction formula. There are no graphs or diagrams accompanying this text.
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