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What is the principal value of \(cosec^{-1}\left(\frac{2}{\sqrt{3}}\right)\)?\(cosec^{-1}\left(\frac{2}{\sqrt{3}}\right)\) का मुख्य मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(\frac{\pi}{3}\)\(\frac{\pi}{3}\)
From \(\csc y=\frac{2}{\sqrt{3}}\), \(\sin y=\frac{\sqrt{3}}{2}\), so \(y=\frac{\pi}{3}\). Solve \(\csc^{-1}\) by relating it to \(\sin^{-1}\).\(\csc y=\frac{2}{\sqrt{3}}\) से \(\sin y=\frac{\sqrt{3}}{2}\), इसलिए \(y=\frac{\pi}{3}\) है। \(\csc^{-1}\) को \(\sin^{-1}\) से जोड़कर हल करें।
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