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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How do I establish the identity with proof . Please show steps so I can understand better
![The equation presented is a trigonometric expression:
\[
\frac{5 \csc^2 x + 4 \csc x - 1}{\cot^2 x} = \frac{5 \csc x - 1}{\csc x - 1}
\]
- **csc** stands for cosecant, which is the reciprocal of the sine function (\(\csc x = \frac{1}{\sin x}\)).
- **cot** stands for cotangent, which is the reciprocal of the tangent function (\(\cot x = \frac{1}{\tan x}\)).
This equation shows a relationship between different trigonometric identities and might be used to simplify or prove trigonometric statements.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F63d16113-ff39-4f92-89f8-61ce82bfb495%2F0c633d36-6f62-499b-99f1-c11dcc03fb2f%2Favri91_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The equation presented is a trigonometric expression:
\[
\frac{5 \csc^2 x + 4 \csc x - 1}{\cot^2 x} = \frac{5 \csc x - 1}{\csc x - 1}
\]
- **csc** stands for cosecant, which is the reciprocal of the sine function (\(\csc x = \frac{1}{\sin x}\)).
- **cot** stands for cotangent, which is the reciprocal of the tangent function (\(\cot x = \frac{1}{\tan x}\)).
This equation shows a relationship between different trigonometric identities and might be used to simplify or prove trigonometric statements.
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