f(x)=cos(2x) and state the amplitude and period. Enter exact answers

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02-08-2022
Mathematics

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f(x)=cos(2x) and state the amplitude and period. Enter exact answers

Sagot :

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yogeshkumar49685 yogeshkumar49685 · Answer 1 · 2022-08-05T06:01:22-04:00

The amplitude of function f(x)=cos(2x) is 1 and the period is 2.

Given that the function of x is f(x)=cos(2x).

We are required to find the value of amplitude and period of function f(x) which is given in the question.

Amplitude basically refers to maximum displacement from the equilibrium that an object in periodic motion show. It is a product analytics platform or term that helps businesses to track visitors with the help of collaborative analytics.

Period is basically the time interval between two waves. A function that repeats its values at regular intervals or periods is known as periodic function.

The amplitude of f(x)=cos(2x) is 1 because the highest value that cos Θ can give 1. We can also see in graph that the value of cos 2x is going to 1 and starts decreasing again.

The period of f(x) is 2. From the graph we can say that the vertical distance between upper point and lower point is 2.

Hence the amplitude of function f(x)=cos(2x) is 1 and the period is 2.

Learn more about amplitude at https://brainly.com/question/3613222

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