Question:
If \( x \in [-1,1] \), then \(\displaystyle \sin^{-1}(-x) = \)
If \( x \in [-1,1] \), then \(\displaystyle \sin^{-1}(-x) = \)
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Inverse sine is an odd function: \(\sin^{-1}(-x) = -\sin^{-1} x\).
Updated On: Nov 9, 2025
- \(-\sin^{-1} x\)
- \(\sin^{-1} x\)
- \(-\cos^{-1} x\)
- \(\cos^{-1} x\)
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The Correct Option is A
Solution and Explanation
Step 1: Using the odd function property of \(\sin^{-1} x\):
\[
\sin^{-1}(-x) = -\sin^{-1} x
\]
for all \(x \in [-1,1]\).
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