If and sec θ + cosec θ + x, then the value of x is

Given, sinθ –cosθ = 0

⇒ squaring on both sides

⇒ (sin²θ + cos²θ -2sinθ cosθ) = 0

⇒ (1-2sinθ cosθ ) = 0

⇒

⇒ secθ + cosecθ = x

⇒

⇒

⇒ sinθ + cosθ = x sinθ cosθ

⇒ sinθ + cosθ =

Squaring on both sides

⇒

⇒

⇒ x² = 8

⇒ x = 2√2

⇒ Option A is incorrect as it does not satisfy the value

⇒ Option B is incorrect as it does not satisfy the value

⇒ Option C is incorrect as it does not satisfy the value