(\tan^{-1}\(\tan x\)=x) कब सीधे सही माना जा सकता है?
When can (\tan^{-1}\(\tan x\)=x) be directly true?
Explanation opens after your attempt
Correct Answer
A. जब (x\in\left\(-\frac{\pi}{2},\frac{\pi}{2}\right\))When (x\in\left\(-\frac{\pi}{2},\frac{\pi}{2}\right\))
Concept
The principal range of \(\tan^{-1}x\) is (\left\(-\frac{\pi}{2},\frac{\pi}{2}\right\)). Therefore that interval is the correct choice.
Why this answer is correct
The correct answer is A. जब (x\in\left\(-\frac{\pi}{2},\frac{\pi}{2}\right\)) / When (x\in\left\(-\frac{\pi}{2},\frac{\pi}{2}\right\)). The principal range of \(\tan^{-1}x\) is (\left\(-\frac{\pi}{2},\frac{\pi}{2}\right\)). Therefore that interval is the correct choice.
Exam Tip
\(\tan^{-1}x\) की प्रधान सीमा (\left\(-\frac{\pi}{2},\frac{\pi}{2}\right\)) है। इसलिए वही अंतराल सही चयन है।
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