What is the amplitude of the function (4\sin 2x)?
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Answer and explanation
Correct answer: 4
For a sine function of the form \(a\sin bx\), the amplitude is \(|a|\). Here, \(a=4\), so the amplitude is \(|4|=4\). The factor \(2\) affects the period of the function, not its amplitude. Exam tip: To find amplitude, take the absolute value of the coefficient outside \(\sin\) or \(\cos\).
Frequently asked questions
What is the correct answer to this question?
4
Why is this the correct answer?
For a sine function of the form \(a\sin bx\), the amplitude is \(|a|\). Here, \(a=4\), so the amplitude is \(|4|=4\). The factor \(2\) affects the period of the function, not its amplitude. Exam tip: To find amplitude, take the absolute value of the coefficient outside \(\sin\) or \(\cos\).
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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