A quadratic equation whose roots are cosec2θ and sec2θ can be

Sum of roots=sec2θ+cosec2θ=1cos2θ+1sin2θ                                                                                             = 4sin22θ≥4Also, product of roots=sec2θcosec2θ=4sin22θ≥4∴The required quadratic equation will be x2−tx+t=0 where t≥4.