How 1 + cot²θ = cosec²θ?

Derivation of 1 + cot²θ = cosec²θ

As we know that,

Sin²θ + Cos²θ = 1........👉👉(Derivation of Sin²θ + Cos²θ = 1)

  Divide by sin²θ both sides , we get

 

Sin²θ/sin²θ + Cos²θ/sin²θ = 1/sin²θ

{1/sin²θ = cosec²θ  and Cos²θ/sin²θ= Cot²}

  Hence,

      1 + cot²θ = cosec²θ