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