Trigonometry question
Easy · from the problemset trigonometry collection
02
$$\text{If } \cos^2\left[\frac{\pi}{4}(\sin x + \sqrt{2}\cos^2 x)\right] - \tan^2\left(x + \frac{\pi}{4}\tan^2 x\right) = 1 \\\text{ then find the value of }
\sin(x).$$
