Class 12 Inverse Trigonometric Functions · Mcq Single Correct1 Markstrigonometric_compositions
Class 12 Maths · Inverse Trigonometric Functions · Mcq Single Correct #14
For |x|<1, simplify \(\sin(\tan^{-1}x)\).
✅ Step-by-Step Solution
Final Answer: Option (D): \(x/\sqrt{1+x^2}\)
- Set θ=arctan x∈(−π/2,π/2). Since cos θ=1/√(1+x²)>0, sin θ=tan θ cos θ=x/√(1+x²).
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