If \( y = \sin^{-1}(x) + \cos^{-1}(x) \), what is the value of \( y \)?
Practice Questions
1 question
Q1
If \( y = \sin^{-1}(x) + \cos^{-1}(x) \), what is the value of \( y \)?
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\( \frac{\pi}{2} \)
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Since \( \sin^{-1}(x) + \cos^{-1}(x) = \frac{\pi}{2} \) for all \( x \) in the domain of \( \sin^{-1} \) and \( \cos^{-1} \), the answer is \( \frac{\pi}{2} \).
Questions & Step-by-step Solutions
1 item
Q
Q: If \( y = \sin^{-1}(x) + \cos^{-1}(x) \), what is the value of \( y \)?
Solution: Since \( \sin^{-1}(x) + \cos^{-1}(x) = \frac{\pi}{2} \) for all \( x \) in the domain of \( \sin^{-1} \) and \( \cos^{-1} \), the answer is \( \frac{\pi}{2} \).
