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What is the value of \(\cos\left(\sin^{-1}\left(-\frac{5}{13}\right)\right)\)?\(\cos\left(\sin^{-1}\left(-\frac{5}{13}\right)\right)\) का मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(\frac{12}{13}\)\(\frac{12}{13}\)
The principal angle of \(\sin^{-1}\) may lie in the fourth quadrant, where \(\cos\theta\) is positive. From the (5,12,13) triangle, the answer is \(\frac{12}{13}\).\(\sin^{-1}\) का principal angle चौथे quadrant में हो सकता है, जहां \(\cos\theta\) positive होता है। (5,12,13) triangle से उत्तर \(\frac{12}{13}\) है।
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