y = 2csc0-10

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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The text in the image appears to be a mathematical equation written on a piece of paper. The equation is:

\[ y = 2 \csc \theta - 1 \]

This equation involves trigonometric functions, specifically the cosecant function (\(\csc\)), which is the reciprocal of the sine function. In this equation, \(\theta\) usually represents an angle, and \(csc \theta\) is defined as \(1/\sin \theta\). The expression suggests that for a given angle \(\theta\), the value of \(y\) is determined by two times the cosecant of \(\theta\) minus one.

There are no graphs or diagrams present in the image to explain.
Transcribed Image Text:The text in the image appears to be a mathematical equation written on a piece of paper. The equation is: \[ y = 2 \csc \theta - 1 \] This equation involves trigonometric functions, specifically the cosecant function (\(\csc\)), which is the reciprocal of the sine function. In this equation, \(\theta\) usually represents an angle, and \(csc \theta\) is defined as \(1/\sin \theta\). The expression suggests that for a given angle \(\theta\), the value of \(y\) is determined by two times the cosecant of \(\theta\) minus one. There are no graphs or diagrams present in the image to explain.
Expert Solution
Step 1

Given: The function is y=2cscθ-1.

Sketch the graph of the function.

Concepts used:

A) Consider a function y=AfBx+C+D. Then,

        1. Amplitude of the function is A.

        2. Phase shift of the function is CB.

        3. Period of the function is Regular period of the functionB.

        4. Vertical shift of the function is D.

B) Regular period of the trigonometric function cscx is 2π.

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