Let

1. Show that

   $$\cos (y)=\sqrt{1-x^2}$$

2. Show that

   $$\frac{dy}{dx}=\frac{1}{\sqrt{1-x^2}}$$

3. Solve the equation

   $$\frac{d}{dx}\arcsin (2x-1)=\frac{5}{2}$$

If the solutions to the equation are $\alpha ,\beta \in \mathbb{Q}$, then give the sum of the numerator and denominator of