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If \(\theta=\tan^{-1}\left(\frac{7}{24}\right)\), what is the value of \(\sin\theta\)?यदि \(\theta=\tan^{-1}\left(\frac{7}{24}\right)\), तो\ \(\sin\theta\) का मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(\frac{7}{25}\)\(\frac{7}{25}\)
From \(\tan\theta=\frac{7}{24}\), the hypotenuse is \(\sqrt{7^2+24^2}=25\), so \(\sin\theta=\frac{7}{25}\). Build a triangle from the ratio.\(\tan\theta=\frac{7}{24}\) से कर्ण \(\sqrt{7^2+24^2}=25\), इसलिए \(\sin\theta=\frac{7}{25}\)। अनुपात से त्रिभुज बनाएं।
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