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Class 12 Mathematics Trigonometric Functions Trigonometric functions and their propertiesHardLevel 70

What is the period of (f(x)=\cos 4x)?

Answer and explanation

Correct answer: ( \frac{\pi}{2} )

The period of (\cos ax) is ( \frac{2\pi}{|a|} ). Hence the period of (\cos 4x) is ( \frac{\pi}{2} ).

Tags

trigonometric-functionsperiodcosine

Frequently asked questions

What is the correct answer to this question?

( \frac{\pi}{2} )

Why is this the correct answer?

The period of (\cos ax) is ( \frac{2\pi}{|a|} ). Hence the period of (\cos 4x) is ( \frac{\pi}{2} ).

Which subject and chapter does this question cover?

This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Trigonometric functions and their properties.

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