23) у CSC X
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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Concept explainers
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Topic Video
Question

Transcribed Image Text:**Educational Content**
**Equation:**
23) \( y = \frac{1}{3} \csc \left( \frac{4}{5}x + \frac{\pi}{2} \right) \)
**Graph Details:**
The graph is a coordinate plane labeled with the \(x\)-axis and \(y\)-axis. There are tick marks on both axes to indicate scale, though no specific units or numbers are provided. The graph appears to be prepared for plotting the function given by the equation above.
**Function Description:**
This function involves the cosecant trigonometric function \(\csc\), which is the reciprocal of the sine function. The equation shows a transformation including a vertical scaling by \(\frac{1}{3}\) and a phase shift in the angle of the \(\csc\) function by \(\frac{\pi}{2}\). Additionally, the variable \(x\) is scaled by a factor of \(\frac{4}{5}\), affecting the period of the function.
**Graph Interpretation:**
The graph grid includes indicator dots for plotting ease. This setup will be useful for analyzing key points and asymptotes integral to graphing a \(\csc\) function, such as where the sine function would be zero (resulting in vertical asymptotes for \(\csc\)).
This equation may be used to practice graph transformations involving trigonometric functions. Understanding these concepts is crucial in precalculus and calculus studies.
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