Medium Mathematics Trigonometric Functions Class 11 Level 70

फलन \(\sin 3x\) का काल क्या है?

What is the period of the function \(\sin 3x\)?

Explanation opens after your attempt
Correct Answer

C. \(\frac{2\pi}{3}\)

Step 1

Concept

The period of \(\sin kx\) is \(\frac{2\pi}{k}\). Here (k=3), so the period is \(\frac{2\pi}{3}\).

Step 2

Why this answer is correct

The correct answer is C. \(\frac{2\pi}{3}\). The period of \(\sin kx\) is \(\frac{2\pi}{k}\). Here (k=3), so the period is \(\frac{2\pi}{3}\).

Step 3

Exam Tip

\(\sin kx\) का काल \(\frac{2\pi}{k}\) होता है। यहाँ (k=3), इसलिए काल \(\frac{2\pi}{3}\) है।

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Mathematics Answer, Explanation and Revision Hints

फलन \(\sin 3x\) का काल क्या है? / What is the period of the function \(\sin 3x\)?

Correct Answer: C. \(\frac{2\pi}{3}\). Explanation: \(\sin kx\) का काल \(\frac{2\pi}{k}\) होता है। यहाँ (k=3), इसलिए काल \(\frac{2\pi}{3}\) है। / The period of \(\sin kx\) is \(\frac{2\pi}{k}\). Here (k=3), so the period is \(\frac{2\pi}{3}\).

Which concept should I revise for this Mathematics MCQ?

The period of \(\sin kx\) is \(\frac{2\pi}{k}\). Here (k=3), so the period is \(\frac{2\pi}{3}\).

What exam hint can help solve this Mathematics question?

\(\sin kx\) का काल \(\frac{2\pi}{k}\) होता है। यहाँ (k=3), इसलिए काल \(\frac{2\pi}{3}\) है।

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