Class 12 Inverse Trigonometric Functions · Mcq Single Correct1 Marksinverse_trigonometric_identities
Class 12 Maths · Inverse Trigonometric Functions · Mcq Single Correct #18
For 0≤x≤1, simplify \(\cos^{-1}(2x^2-1)\).
✅ Step-by-Step Solution
Final Answer: Option (A): \(2\cos^{-1}x\)
- Put θ=arccos x∈[0,π/2]. Then 2x²−1=cos2θ and 2θ∈[0,π], so arccos(cos2θ)=2θ.
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