Class 12 Inverse Trigonometric Functions · Short Answer2 Marksprincipal_values
Class 12 Maths · Inverse Trigonometric Functions · Short Answer #50
Evaluate \(\sin^{-1}[\sin(3\pi/4)]+\cos^{-1}(\cos\pi)+\tan^{-1}1\).
✅ Step-by-Step Solution
Final Answer: 3π/2
- arcsin(sin3π/4)=arcsin(sinπ/4)=π/4.
- The other terms are arccos(cosπ)=π and arctan1=π/4.
- The sum is π/4+π+π/4=3π/2.
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] arcsin(sin3π/4)=arcsin(sinπ/4)=π/4.
- [1 mark] The other terms are arccos(cosπ)=π and arctan1=π/4.
- [0.5 marks] The sum is π/4+π+π/4=3π/2.
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