0 reads0 ratings0 helpful
What is the domain of \(\sec^{-1}x\) ?\(\sec^{-1}x\) का परिभाषा-क्षेत्र (domain) क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(x\le -1\) or \(x\ge 1\)\(x\le -1\) या \(x\ge 1\)
Let \(y=\sec^{-1}x\). Then \(x=\sec y\). Since \(\sec y=\frac{1}{\cos y}\), we must have \(\cos y\ne 0\), and also \(|\sec y|\ge 1\). Therefore \(x\) must satisfy \(x\le -1\) or \(x\ge 1\).मान लें \(y=\sec^{-1}x\). तब \(x=\sec y\)। क्योंकि \(\sec y=\frac{1}{\cos y}\), इसलिए \(\cos y\ne 0\) होना चाहिए और \(|\sec y|\ge 1\) होता है। अतः \(x\) के लिए \(x\le -1\) या \(x\ge 1\) आवश्यक है।
Student feedback
Was this question useful?
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Difficulty
Easy0%
Medium0%
Hard0%
Was the explanation clear?
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
