2) Jan (40°) -ton (10) It ton (40) ton (10⁰°)
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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![The image contains a mathematical expression involving tangent functions. Below is the transcription of the expression:
\[
\frac{\tan(40^\circ) - \tan(10^\circ)}{1 + \tan(40^\circ) \tan(10^\circ)}
\]
This expression is a trigonometric identity and can be related to the formula for the tangent of the difference of two angles:
\[
\tan(A - B) = \frac{\tan(A) - \tan(B)}{1 + \tan(A) \tan(B)}
\]
In this case, \( A = 40^\circ \) and \( B = 10^\circ \), suggesting the expression simplifies to \( \tan(30^\circ) \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F085e24e4-6db3-44bd-bedd-407e7fcd33ea%2F27a9e9c7-e2ce-44d2-b247-112dd73b38a9%2Fwak3bpd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The image contains a mathematical expression involving tangent functions. Below is the transcription of the expression:
\[
\frac{\tan(40^\circ) - \tan(10^\circ)}{1 + \tan(40^\circ) \tan(10^\circ)}
\]
This expression is a trigonometric identity and can be related to the formula for the tangent of the difference of two angles:
\[
\tan(A - B) = \frac{\tan(A) - \tan(B)}{1 + \tan(A) \tan(B)}
\]
In this case, \( A = 40^\circ \) and \( B = 10^\circ \), suggesting the expression simplifies to \( \tan(30^\circ) \).
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