(sintheta-sectheta)2+(costheta-cosectheta)2=(1-sectheta cosectheta)2 . . .

Question : Prove that (sinθ-secθ)²+(cosθ-cosecθ)²=(1-secθ cosecθ)²

Doubt by Jaskirat

Solution : 

(sinθ-secθ)²+(cosθ-cosecθ)²=(1-secθcosecθ)²
LHS

= (sinθ-secθ)²+(cosθ-cosecθ)²

Using Identity sin²θ+cos²θ = 1

= (1 - cosecθ secθ)²

[∵1/sinθ = cosecθ & 1/cosθ = secθ]
= (1-secθ cosecθ)²

= RHS

LHS = RHS 

Hence Proved.