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For \(\sin^{-1}(2x)\) to be defined, in which interval must \(x\) lie?\(sin^{-1}(2x)\) के परिभाषित होने के लिए \(x\) किस interval में होना चाहिए?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ([-\frac{1}{2},\frac{1}{2}])([-\frac{1}{2},\frac{1}{2}])
For \(\sin^{-1}(2x)\), we need \(-1\le 2x\le1\). This gives \(x\in[-\frac{1}{2},\frac{1}{2}]\).\(\sin^{-1}(2x)\) के लिए \(-1\le 2x\le1\) होना चाहिए। इससे \(x\in[-\frac{1}{2},\frac{1}{2}]\) मिलता है।
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