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Chapter 14: Q43. (page 768)

What is the period of fx=12cos3x and then graph the function.

A120B鈭�180C鈭�360D鈭�720掳

Short Answer

Expert verified

The period offx=12cos3x is 120掳. So, option (A) is correct.

Step by step solution

01

Step 1. Write down the given information.

The given function is fx=12cos3x.

02

Step 2. Concept used.

A function of the form y=asinbxandy=acosbx has amplitude of a and period 360掳bor2蟺b.

03

Step 3. Evaluating period of the given function.

With the help of concept stated above, the period of the function is evaluated as:

The period of fx=12cos3x is 360掳3=120掳.

04

Step 4. Conclusion.

The period of fx=12cos3x is 120掳. So, option (A) is correct.

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