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What is the value of \(\cos\left(\sin^{-1}\frac{5}{13}\right)\)?\(\cos\left(\sin^{-1}\frac{5}{13}\right)\) का मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(\frac{12}{13}\)\(\frac{12}{13}\)
Let \(\theta=\sin^{-1}\frac{5}{13}\), then \(\sin\theta=\frac{5}{13}\) and \(\theta\) is in the principal range. Therefore \(\cos\theta=\frac{12}{13}\).मान लें \(\theta=\sin^{-1}\frac{5}{13}\), तब \(\sin\theta=\frac{5}{13}\) और \(\theta\) प्रधान सीमा में है। इसलिए \(\cos\theta=\frac{12}{13}\) होगा।
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