10 Csc Y Sin X Cot tan r

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...
Question
The image contains handwritten mathematical expressions related to trigonometry:

10) \(\frac{\text{csc} \, y}{\sin x} - \frac{\cot \, y}{\tan y}\)

11) \(\frac{1 + \tan^2 \beta}{1 + \cot^2 \beta}\)

Explanation:

1. **Expression 10:** It involves trigonometric functions related to angles \(y\) and \(x\). The expression contains cosecant (\(\text{csc}\)) and cotangent (\(\cot\)), which are reciprocal trigonometric functions.
   
2. **Expression 11:** This expression compares the sum of \(\tan^2\) (tangent squared) and 1, with the sum of \(\cot^2\) (cotangent squared) and 1, both associated with angle \(\beta\).

There are no graphs or diagrams accompanying the expressions.
Transcribed Image Text:The image contains handwritten mathematical expressions related to trigonometry: 10) \(\frac{\text{csc} \, y}{\sin x} - \frac{\cot \, y}{\tan y}\) 11) \(\frac{1 + \tan^2 \beta}{1 + \cot^2 \beta}\) Explanation: 1. **Expression 10:** It involves trigonometric functions related to angles \(y\) and \(x\). The expression contains cosecant (\(\text{csc}\)) and cotangent (\(\cot\)), which are reciprocal trigonometric functions. 2. **Expression 11:** This expression compares the sum of \(\tan^2\) (tangent squared) and 1, with the sum of \(\cot^2\) (cotangent squared) and 1, both associated with angle \(\beta\). There are no graphs or diagrams accompanying the expressions.
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