Class 12 Inverse Trigonometric Functions · Short Answer2 Marksprincipal_values
Class 12 Maths · Inverse Trigonometric Functions · Short Answer #52
Evaluate \(\sin^{-1}[\sin(3\pi/4)]+\cos^{-1}[\cos(3\pi/4)]+\tan^{-1}1\).
✅ Step-by-Step Solution
Final Answer: 5π/4
- The principal arcsine of sin3π/4 is π/4.
- The principal arccosine of cos3π/4 is 3π/4, and arctan1=π/4.
- The sum is (1+3+1)π/4=5π/4.
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] The principal arcsine of sin3π/4 is π/4.
- [1 mark] The principal arccosine of cos3π/4 is 3π/4, and arctan1=π/4.
- [0.5 marks] The sum is (1+3+1)π/4=5π/4.
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