If \(\alpha=\sin^{-1}\left(-\frac{\sqrt{3}}{2}\right)\), what is \(\alpha\) equal to?यदि \(\alpha=\sin^{-1}\left(-\frac{\sqrt{3}}{2}\right)\), तो \(\alpha\) किसके बराबर है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(-\frac{\pi}{3}\)\(-\frac{\pi}{3}\)
Since \(\sin\left(-\frac{\pi}{3}\right)=-\frac{\sqrt{3}}{2}\) and it lies in the principal range. Therefore \(-\frac{\pi}{3}\) is correct.\(\sin\left(-\frac{\pi}{3}\right)=-\frac{\sqrt{3}}{2}\) और यह मुख्य परिसर में है। इसलिए \(-\frac{\pi}{3}\) सही है।
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