Class 12 Inverse Trigonometric Functions · Conceptual Answer1 Markstrigonometric_compositions
Class 12 Maths · Inverse Trigonometric Functions · Conceptual Answer #87
For real x, simplify \(\sin(\cot^{-1}x)\).
✅ Step-by-Step Solution
Final Answer: 1/√(1+x²)
- For θ=arccot x∈(0,π), sin θ is positive; 1+cot²θ=csc²θ gives sin θ=1/√(1+x²).
- 1/√(1+x²)
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] For θ=arccot x∈(0,π), sin θ is positive; 1+cot²θ=csc²θ gives sin θ=1/√(1+x²).
- [0.5 marks] 1/√(1+x²)
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