Inverse Trigonometric Functions · Class 12 Mathematics · Chapter 2
🌀 Inverse Trigonometric Functions
CBSE Class 12 Science · Mathematics · Chapter 1
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📖Notes Deck
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Download PDF →📝Quick Drill
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Download PDF →Top question patterns · CBSE annual / SQP aggregate
| 95% | Principal value of sin⁻¹/cos⁻¹/tan⁻¹ at standard input — State range → let θ = answer → verify θ in range | 2 MARKS |
| 70% | sin⁻¹(sin x) or cos⁻¹(cos x) where x outside principal range — Check x ∈ range; if not, reduce using sin(π−x)=sin x or cos(2π−x)=cos x; find equivalent in range | 2 MARKS |
| 55% | Prove identity sin⁻¹ + cos⁻¹ = π/2 etc. — Substitute let A = sin⁻¹ x, use sin(π/2 − A) = cos A trick | 3 MARKS |
| 40% | Sum tan⁻¹ x + tan⁻¹ y with xy>1 case — Check xy sign; add or subtract π when xy>1; box final | 3 MARKS |
| 30% | 2 tan⁻¹ x identity simplification — Verify |x|<1; substitute into 2x/(1−x²); simplify carefully | 3 MARKS |
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