Class 12 Inverse Trigonometric Functions · Short Answer2 Marksprincipal_values
Class 12 Maths · Inverse Trigonometric Functions · Short Answer #49
Evaluate \(3\sin^{-1}(1/\sqrt2)+2\cos^{-1}(\sqrt3/2)+\cos^{-1}0\).
✅ Step-by-Step Solution
Final Answer: 19π/12
- The principal values are π/4, π/6 and π/2 respectively.
- Substitute to obtain 3π/4+2π/6+π/2=(9+4+6)π/12.
- The value is 19π/12.
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] The principal values are π/4, π/6 and π/2 respectively.
- [1 mark] Substitute to obtain 3π/4+2π/6+π/2=(9+4+6)π/12.
- [0.5 marks] The value is 19π/12.
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