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Find the value of \( \sin(\sin^{-1}(\frac{1}{2})) \).
Find the value of \( \sin(\sin^{-1}(\frac{1}{2})) \).
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Practice Questions
1 question
Q1
Find the value of \( \sin(\sin^{-1}(\frac{1}{2})) \).
0
\( \frac{1}{2} \)
1
undefined
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By definition, \( \sin(\sin^{-1}(x)) = x \). Therefore, \( \sin(\sin^{-1}(\frac{1}{2})) = \frac{1}{2} \).
Questions & Step-by-step Solutions
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Q
Q: Find the value of \( \sin(\sin^{-1}(\frac{1}{2})) \).
Solution:
By definition, \( \sin(\sin^{-1}(x)) = x \). Therefore, \( \sin(\sin^{-1}(\frac{1}{2})) = \frac{1}{2} \).
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