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What is the value of \(\sin\left(\cos^{-1}\left(\frac{7}{25}\right)\right)\)?\(\sin\left(\cos^{-1}\left(\frac{7}{25}\right)\right)\) का मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(\frac{24}{25}\)\(\frac{24}{25}\)
Taking \(\theta=\cos^{-1}\left(\frac{7}{25}\right)\), we have \(\theta\in[0,\pi]\) and \(sin\theta\ge0\). Hence from the (7,24,25) triangle, \(\sin\theta=\frac{24}{25}\).\(\theta=\cos^{-1}\left(\frac{7}{25}\right)\) लेने पर \(\theta\in[0,\pi]\) और \(sin\theta\ge0\)। इसलिए (7,24,25) triangle से \(\sin\theta=\frac{24}{25}\)।
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