Verify the identity. 2 tan(x) 1 + tan?(x) sin(2x)
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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Question
We were asked to verify the identity. Thank you!
![**Verify the Identity**
\[
\frac{2 \tan(x)}{1 + \tan^2(x)} = \sin(2x)
\]
This is a trigonometric identity that involves tangent and sine functions. The goal is to show that both sides of the equation are equal for all values of \(x\) where the functions are defined. You can approach this by using known trigonometric identities and algebraic manipulation.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3f6c06ee-87a0-4c25-9010-553fce522807%2Ff70c490e-8ac7-49bf-8053-3d03f17fcd88%2F84yjdqo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Verify the Identity**
\[
\frac{2 \tan(x)}{1 + \tan^2(x)} = \sin(2x)
\]
This is a trigonometric identity that involves tangent and sine functions. The goal is to show that both sides of the equation are equal for all values of \(x\) where the functions are defined. You can approach this by using known trigonometric identities and algebraic manipulation.
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