Trigonometry Question

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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Step 1

(a) The given function is

Trigonometry homework question answer, step 1, image 1

Compare the given equation with

Trigonometry homework question answer, step 1, image 2

where a is the amplitude of the function and d is the vertical shift.

So, the amplitude of the function is 3.

To find the period of the function , use 

Trigonometry homework question answer, step 1, image 3

where b=1/2 for the given function

So,

Trigonometry homework question answer, step 1, image 4

To find phase shift , use

Trigonometry homework question answer, step 1, image 5

The graph shifted to right side .

The vertical shift (d) for the given function is -1.

 

 

Step 2

So, the graph of the function is

Trigonometry homework question answer, step 2, image 1

 

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