If \(y=y(x)\) is the solution of the differential equation \(\frac{d y}{d x}+(\tan x) y=\sin x, 0 \leq x \leq \frac{\pi}…

If \(y=y(x)\) is the solution of the differential equation \(\frac{d y}{d x}+(\tan x) y=\sin x, 0 \leq x \leq \frac{\pi}{3}\) with \(y(0)=0\), then \(y\left(\frac{\pi}{4}\right)\)

[JEE Main 2021, 16 Mar (Shift 2)]