Question 15
Consider the equation
$$\frac{\sqrt3-1}{\sin x}+\frac{\sqrt3+1}{\cos x}=4\sqrt2.$$
For the range $0\lt x\lt \pi/2$, the sum of the solutions of the equation can be expressed in the form $\frac{m\pi}{n}$, where $\frac mn$ is a fraction in the lowest form. Find $m+n$.
$$\frac{\sqrt3-1}{\sin x}+\frac{\sqrt3+1}{\cos x}=4\sqrt2.$$
For the range $0\lt x\lt \pi/2$, the sum of the solutions of the equation can be expressed in the form $\frac{m\pi}{n}$, where $\frac mn$ is a fraction in the lowest form. Find $m+n$.