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If \(\theta=\cos^{-1}\left(\frac{12}{13}\right)\), what is the value of \(\sin\theta\)?यदि \(\theta=\cos^{-1}\left(\frac{12}{13}\right)\), तो \(\sin\theta\) का मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(\frac{5}{13}\)\(\frac{5}{13}\)
Here \(\cos\theta=\frac{12}{13}\) and \(\theta\in\left[0,\pi\right]\). In this case, \(\sin\theta=\frac{5}{13}\) is positive.\(\cos\theta=\frac{12}{13}\) और \(\theta\in\left[0,\pi\right]\) है। इस स्थिति में \(\sin\theta=\frac{5}{13}\) धनात्मक होगा।
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