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What is the value of \(\tan\left(\sin^{-1}\frac{4}{5}\right)\)?\(\tan\left(\sin^{-1}\frac{4}{5}\right)\) का मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(\frac{4}{3}\)\(\frac{4}{3}\)
Let \(\theta=\sin^{-1}\frac{4}{5}\), then \(\sin\theta=\frac{4}{5}\) and \(\cos\theta=\frac{3}{5}\). Therefore \(\tan\theta=\frac{4}{3}\).मान लें \(\theta=\sin^{-1}\frac{4}{5}\), तब \(\sin\theta=\frac{4}{5}\) और \(\cos\theta=\frac{3}{5}\)। इसलिए \(\tan\theta=\frac{4}{3}\)।
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