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Chapter 4: Problem 91

If you are given the equation of a sine function, how do you determine the period?

Short Answer

Expert verified
The period of a sine function is determined by \ \(2\pi/ \ |B|\) where B is the coefficient of x in the function f(x) = A sin(B(x - C)) + D.

Step by step solution

01

Identify the Coefficient B

In a given sine function of the form f(x) = A sin(B(x - C)) + D, B is the coefficient of x. Identify the value of B in the provided equation.
02

Calculate the period

The period of the sine function is calculated using the formula \(2\pi/ \ |B|\). Input the value of B identified in step 1 into this formula to calculate the duration of one complete cycle of the function.

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