If \(f: R \rightarrow R\) be a continuous function satisfying \(\int_0^{\pi / 2} f(\sin 2 x) \cdot \sin x d x+\alpha \in…

If \(f: R \rightarrow R\) be a continuous function satisfying \(\int_0^{\pi / 2} f(\sin 2 x) \cdot \sin x d x+\alpha \int_0^{\pi / 4} f(\cos 2 x) \cdot \cos x d x=0\), then \(\alpha\) is equal to