\(\tan^{-1}\sqrt{3}\) का प्रधान मान क्या है?

What is the principal value of \(\tan^{-1}\sqrt{3}\)?

Author: Muft Shiksha Editorial Team Published:
Explanation opens after your attempt
Correct Answer

A. \(\frac{\pi}{3}\)

Step 1

Concept

Because \(\tan\frac{\pi}{3}=\sqrt{3}\) and \(\frac{\pi}{3}\) lies in the principal range. For \(\tan^{-1}\), take the angle in (\left\(-\frac{\pi}{2},\frac{\pi}{2}\right\)).

Step 2

Why this answer is correct

The correct answer is A. \(\frac{\pi}{3}\). Because \(\tan\frac{\pi}{3}=\sqrt{3}\) and \(\frac{\pi}{3}\) lies in the principal range. For \(\tan^{-1}\), take the angle in (\left\(-\frac{\pi}{2},\frac{\pi}{2}\right\)).

Step 3

Exam Tip

क्योंकि \(\tan\frac{\pi}{3}=\sqrt{3}\) है और \(\frac{\pi}{3}\) प्रधान सीमा में है। \(\tan^{-1}\) में कोण (\left\(-\frac{\pi}{2},\frac{\pi}{2}\right\)) में लें।

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Mathematics Answer, Explanation and Revision Hints

\(\tan^{-1}\sqrt{3}\) का प्रधान मान क्या है? / What is the principal value of \(\tan^{-1}\sqrt{3}\)?

Correct Answer: A. \(\frac{\pi}{3}\). Explanation: क्योंकि \(\tan\frac{\pi}{3}=\sqrt{3}\) है और \(\frac{\pi}{3}\) प्रधान सीमा में है। \(\tan^{-1}\) में कोण (\left\(-\frac{\pi}{2},\frac{\pi}{2}\right\)) में लें। / Because \(\tan\frac{\pi}{3}=\sqrt{3}\) and \(\frac{\pi}{3}\) lies in the principal range. For \(\tan^{-1}\), take the angle in (\left\(-\frac{\pi}{2},\frac{\pi}{2}\right\)).

Which concept should I revise for this Mathematics MCQ?

Because \(\tan\frac{\pi}{3}=\sqrt{3}\) and \(\frac{\pi}{3}\) lies in the principal range. For \(\tan^{-1}\), take the angle in (\left\(-\frac{\pi}{2},\frac{\pi}{2}\right\)).

What exam hint can help solve this Mathematics question?

क्योंकि \(\tan\frac{\pi}{3}=\sqrt{3}\) है और \(\frac{\pi}{3}\) प्रधान सीमा में है। \(\tan^{-1}\) में कोण (\left\(-\frac{\pi}{2},\frac{\pi}{2}\right\)) में लें।