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Q. 43PA

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Algebra 2
Found in: Page 768
Algebra 2

Algebra 2

Book edition Middle English Edition
Author(s) Carter
Pages 804 pages
ISBN 9780079039903

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Short Answer

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

A120B180C360D720°

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

See the step by step solution

Step by Step Solution

Step 1. Write down the given information.

The given function is fx=12cos3x.

Step 2. Concept used.

A function of the form y=asinbx and y=acosbx has amplitude of a and period 360°b or 2πb.

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°3=120°.

Step 4. Conclusion.

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

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