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Class 12 Inverse Trigonometric Functions · Mcq Single Correct1 Markstrigonometric_compositions

Class 12 Maths · Inverse Trigonometric Functions · Mcq Single Correct #4

For \(x\in[-1,1]\setminus\{0\}\), simplify \(\cot(\sin^{-1}x)\).

✅ Step-by-Step Solution

Final Answer: Option (D): \(\sqrt{1-x^2}/x\)
  1. For θ=arcsin x, cos θ=√(1−x²)≥0 and sin θ=x; cot θ=√(1−x²)/x. Require −1≤x≤1 and x≠0.

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