Class 12 Inverse Trigonometric Functions · Mcq Single Correct1 Marksinverse_trigonometric_inequalities
Class 12 Maths · Inverse Trigonometric Functions · Mcq Single Correct #2
Find the full real solution set of \(\sin^{-1}x>\cos^{-1}x\).
✅ Step-by-Step Solution
Final Answer: Option (C): \((1/\sqrt2,1]\)
- Use arccos x=π/2−arcsin x. The inequality becomes arcsin x>π/4, hence x>1/√2, with x≤1 from the real domain. Therefore x∈(1/√2,1].
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CBSE Class 12 Mathematics 2026 Main Paper 65/1/1 · Q1
If 2 cos⁻¹ x = y, then