Evaluate a nested trig and inverse trig expression to a single value

CBSE Class 12 · Mathematics · Inverse Trigonometric Functions · similar questions asked in 2 years (2025, 2026)

1. Q1 2025 2 marks

   Evaluate : $\tan^{-1}\left[2\sin\left(2\cos^{-1}\dfrac{\sqrt{3}}{2}\right)\right]$

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2. Q2 2026 2 marks

   Find the value of $\sin\left[\cot^{-1}\sqrt{2}\,(\cos(\tan^{-1} 1))\right]$.

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