(\tan^{-1}\left\(\tan\frac{\pi}{3}\right\)) का मान क्या है?

What is the value of (\tan^{-1}\left\(\tan\frac{\pi}{3}\right\))?

Author: Muft Shiksha Editorial Team Published:
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Correct Answer

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

Step 1

Concept

The angle \(\frac{\pi}{3}\) lies in the principal range (\left\(-\frac{\pi}{2},\frac{\pi}{2}\right\)). Therefore the value of the expression is \(\frac{\pi}{3}\).

Step 2

Why this answer is correct

The correct answer is A. \(\frac{\pi}{3}\). The angle \(\frac{\pi}{3}\) lies in the principal range (\left\(-\frac{\pi}{2},\frac{\pi}{2}\right\)). Therefore the value of the expression is \(\frac{\pi}{3}\).

Step 3

Exam Tip

\(\frac{\pi}{3}\) प्रधान सीमा (\left\(-\frac{\pi}{2},\frac{\pi}{2}\right\)) में आता है। इसलिए व्यंजक का मान \(\frac{\pi}{3}\) है।

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FAQs

Mathematics Answer, Explanation and Revision Hints

(\tan^{-1}\left\(\tan\frac{\pi}{3}\right\)) का मान क्या है? / What is the value of (\tan^{-1}\left\(\tan\frac{\pi}{3}\right\))?

Correct Answer: A. \(\frac{\pi}{3}\). Explanation: \(\frac{\pi}{3}\) प्रधान सीमा (\left\(-\frac{\pi}{2},\frac{\pi}{2}\right\)) में आता है। इसलिए व्यंजक का मान \(\frac{\pi}{3}\) है। / The angle \(\frac{\pi}{3}\) lies in the principal range (\left\(-\frac{\pi}{2},\frac{\pi}{2}\right\)). Therefore the value of the expression is \(\frac{\pi}{3}\).

Which concept should I revise for this Mathematics MCQ?

The angle \(\frac{\pi}{3}\) lies in the principal range (\left\(-\frac{\pi}{2},\frac{\pi}{2}\right\)). Therefore the value of the expression is \(\frac{\pi}{3}\).

What exam hint can help solve this Mathematics question?

\(\frac{\pi}{3}\) प्रधान सीमा (\left\(-\frac{\pi}{2},\frac{\pi}{2}\right\)) में आता है। इसलिए व्यंजक का मान \(\frac{\pi}{3}\) है।