Class 12 Inverse Trigonometric Functions · Mcq Single Correct1 Markstrigonometric_compositions
Class 12 Maths · Inverse Trigonometric Functions · Mcq Single Correct #11
For real x, simplify \(\sin(\cot^{-1}x)\).
✅ Step-by-Step Solution
Final Answer: Option (D): \((1+x^2)^{-1/2}\)
- The principal arccot angle θ lies in (0,π), so sin θ>0. From 1+cot²θ=csc²θ obtain sin θ=1/√(1+x²).
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