If sin θ + cosec θ = 2, then the value of sin^2θ + cosec^2θ is :

sin θ + cosec θ = 2

on squaring both side

(sin θ + cosec θ)² = 2²

sin² θ + cosec² θ + 2.sin θ . cosec θ = 4

{ we know,  sin θ = \(\frac{1 }{ cosecθ}\) }

sin² θ + cosec² θ + 2 = 4

sin² θ + cosec² θ = 2