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Which of the following inverse trigonometric functions has all real numbers as its domain?निम्नलिखित में से किस प्रतिलोम त्रिकोणमितीय फलन का प्रांत सभी वास्तविक संख्याएँ है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(\tan^{-1}x\)\(\tan^{-1}x\)
\(\tan^{-1}x\) is defined for every real number; for example, \(x=2\) is allowed. In contrast, \(\sin^{-1}x\) requires \(-1\le x\le1\). Exam tip: check the domain first.\(\tan^{-1}x\) का प्रांत सभी वास्तविक संख्याएँ है। \(x=2\) पर भी यह परिभाषित है, पर \(\sin^{-1}x\) के लिए \(-1\le x\le1\) चाहिए। परीक्षा में प्रांत पहले जाँचें।
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