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Class 12 Mathematics Trigonometric Functions Trigonometric functions and their propertiesMediumLevel 71

What is the period of the function \(5\cos(\frac{x}{2})\)?

Answer and explanation

Correct answer: \(4\pi\)

The period of (\cos kx) is \(\frac{2\pi}{k}\). Here \(k=\frac{1}{2}\), so the period is \(4\pi\).

Tags

periodcosinetransformation

Frequently asked questions

What is the correct answer to this question?

\(4\pi\)

Why is this the correct answer?

The period of (\cos kx) is \(\frac{2\pi}{k}\). Here \(k=\frac{1}{2}\), so the period is \(4\pi\).

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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