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Which pair gives the correct domain and range of \(\tan^{-1}x\)?\(\tan^{-1}x\) के प्रांत और परिसर का सही युग्म कौन सा है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(\mathbb{R},\left(-\frac{\pi}{2},\frac{\pi}{2}\right)\)\(\mathbb{R},\left(-\frac{\pi}{2},\frac{\pi}{2}\right)\)
The domain of \(\tan^{-1}x\) is \(\mathbb{R}\) and its range is \(\left(-\frac{\pi}{2},\frac{\pi}{2}\right)\). The endpoints of the open interval are not included.\(\tan^{-1}x\) का प्रांत \(\mathbb{R}\) और परिसर \(\left(-\frac{\pi}{2},\frac{\pi}{2}\right)\) है। खुले अंतराल के अंत बिंदु शामिल नहीं हैं।
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