Class 12 Inverse Trigonometric Functions · Short Answer2 Marksprincipal_values
Class 12 Maths · Inverse Trigonometric Functions · Short Answer #48
Evaluate \(\sin^{-1}\{\cos[\sin^{-1}(\sqrt3/2)]\}\).
✅ Step-by-Step Solution
Final Answer: π/6
- arcsin(√3/2)=π/3.
- Then cos(arcsin(√3/2))=cosπ/3=1/2.
- The expression is arcsin(1/2)=π/6.
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] arcsin(√3/2)=π/3.
- [1 mark] Then cos(arcsin(√3/2))=cosπ/3=1/2.
- [0.5 marks] The expression is arcsin(1/2)=π/6.
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