How do you find the period for the graph of y = A sin (Bx + C)?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 11E
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How do you find the period for the graph of y = A sin (Bx + C)?

Expert Solution
Step 1

We have to find period of the function:

y=A sin Bx+C

We know that if we have trigonometric function as:

y=A sin Bx+C+D

then,

A is the amplitude of the function

2πB is period of the function 

CB is phase shift

and D is the vertical shift.

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