CUET Mathematics 2025 19 May Shift 1 PYQs

If $\tan ^{-1}\left(\frac{2}{3^{-x}+1}\right)=\cot ^{-1}\left(\frac{3}{3^{x}+1}\right)$, then which one of the following is true ?

The maximum value of $\sin x + \cos x, x \in R$ is:

The value of $\sin\left[2\cot^{-1}\left(\frac{-5}{12}\right)\right]$ is :