(\cos\left\(\sin^{-1}\frac{5}{13}\right\)) का मान क्या है?
What is the value of (\cos\left\(\sin^{-1}\frac{5}{13}\right\))?
Explanation opens after your attempt
Correct Answer
A. \(\frac{12}{13}\)
Concept
Let \(\theta=\sin^{-1}\frac{5}{13}\), then \(\sin\theta=\frac{5}{13}\) and \(\theta\) is in the principal range. Therefore \(\cos\theta=\frac{12}{13}\).
Why this answer is correct
The correct answer is A. \(\frac{12}{13}\). Let \(\theta=\sin^{-1}\frac{5}{13}\), then \(\sin\theta=\frac{5}{13}\) and \(\theta\) is in the principal range. Therefore \(\cos\theta=\frac{12}{13}\).
Exam Tip
मान लें \(\theta=\sin^{-1}\frac{5}{13}\), तब \(\sin\theta=\frac{5}{13}\) और \(\theta\) प्रधान सीमा में है। इसलिए \(\cos\theta=\frac{12}{13}\) होगा।
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