CBSE Class 12 Mathematics 2026 Main Paper 65/5/1 · Q212 Marksprincipal_values
CBSE Class 12 Mathematics 2026 Main Paper 65/5/1 · Question 21 (Inverse Trigonometric Functions)
Evaluate \(\sin[\tan^{-1}(\tan(3\pi/4))]\).
✅ Step-by-Step Solution
Final Answer: −1/√2.
- The tangent of 3π/4 is −1.
- Its principal arctangent is −π/4.
- Take the sine to get −1/√2.
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] The tangent of 3π/4 is −1.
- [1 mark] Its principal arctangent is −π/4.
- [0.5 marks] Take the sine to get −1/√2.
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