If \(\theta=\sin^{-1}\left(\frac{5}{13}\right)\), what is the value of \(\cos\theta\)?यदि \(\theta=\sin^{-1}\left(\frac{5}{13}\right)\), तो \(\cos\theta\) का मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(\frac{12}{13}\)\(\frac{12}{13}\)
Here \(\theta\) is in the principal range and \(\sin\theta=\frac{5}{13}\). From a right triangle, \(\cos\theta=\frac{12}{13}\).\(\theta) मुख्य परिसर में है और (\sin\theta=\frac{5}{13}\) है। इसलिए समकोण त्रिभुज से \(\cos\theta=\frac{12}{13}\)।
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