Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
Prove the right side of the Identity
= tan(x)sin(x)
![The image contains a mathematical expression involving trigonometric functions:
\[
\frac{1}{\cos(x)} - \frac{1}{\sec(x)} = \tan(x) \, \sin(x)
\]
In this expression:
- \(\frac{1}{\cos(x)}\) is the reciprocal of the cosine of \(x\).
- \(\frac{1}{\sec(x)}\) is the reciprocal of the secant of \(x\).
- \(\tan(x)\) is the tangent of \(x\).
- \(\sin(x)\) is the sine of \(x\).
The equation shows a relationship among these trigonometric functions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb223cdae-a5da-4961-93b3-c87477d4eb1e%2Fe72dc58b-f63a-4564-a775-8aa7f2001ceb%2Fua47q5m_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The image contains a mathematical expression involving trigonometric functions:
\[
\frac{1}{\cos(x)} - \frac{1}{\sec(x)} = \tan(x) \, \sin(x)
\]
In this expression:
- \(\frac{1}{\cos(x)}\) is the reciprocal of the cosine of \(x\).
- \(\frac{1}{\sec(x)}\) is the reciprocal of the secant of \(x\).
- \(\tan(x)\) is the tangent of \(x\).
- \(\sin(x)\) is the sine of \(x\).
The equation shows a relationship among these trigonometric functions.
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