CUET Mathematics 2022 10 Aug Shift 1 PYQs

The minimum value of the function $f(x) = 3\sin x - 4\cos x, x \in [-4\pi, 4\pi]$ is equal to

$\sin^{-1}(\cos x) = \frac{\pi}{2} - x$ is valid for :

$\sin^{-1}(\cos\frac{3\pi}{5})$ equals