Unpolarised light is incident on the boundary between two dielectric media, whose dielectric constants are 2.8 (medium β1 ) and 6.8 (medium β2 ), respectively. To satisfy the condition, so that the reflected and refracted rays are perpendicular to each other, the angle of incidence should be $ tan^{β1}(1+\frac{10}\theta )^{\frac{1} 2}$, then the value of π is _______.
(Given for dielectric media, $ \mu_r=1$ )