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Class 12 Inverse Trigonometric Functions · Conceptual Answer1 Marksprincipal_values

Class 12 Maths · Inverse Trigonometric Functions · Conceptual Answer #37

Evaluate \(\tan^{-1}\sqrt3-\cot^{-1}(-\sqrt3)\).

✅ Step-by-Step Solution

Final Answer: −π/2
  1. arctan√3=π/3 and arccot(−√3)=5π/6 using arccot range (0,π); subtract to obtain −π/2.
  2. −π/2

📋 CBSE Stepwise Marking Scheme

  • [0.5 marks] arctan√3=π/3 and arccot(−√3)=5π/6 using arccot range (0,π); subtract to obtain −π/2.
  • [0.5 marks] −π/2

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