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If \(\theta=\sin^{-1}\left(\frac{3}{5}\right)\), what is the value of \(\cos\theta\)?यदि \(\theta=\sin^{-1}\left(\frac{3}{5}\right)\), तो \(\cos\theta\) का मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(\frac{4}{5}\)\(\frac{4}{5}\)
\(\theta\in[-\frac{\pi}{2},\frac{\pi}{2}]\), so \(\cos\theta\) is positive. From the (3,4,5) triangle, \(\cos\theta=\frac{4}{5}\).\(\theta\in[-\frac{\pi}{2},\frac{\pi}{2}]\) है, इसलिए \(\cos\theta\) positive होगा। (3,4,5) triangle से \(\cos\theta=\frac{4}{5}\)।
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