Question

please give correct answer subject :Maths​

Answer 1

(i):  As we know, 1 - cos²θ = sin²θ

 ⇒ (1 - cos²θ)cosec²θ

 ⇒ (sin²θ)(cosec²θ)

 ⇒ (sin²θ)(1/sin²θ)             [cosecA = 1/sinA]

 ⇒ 1                       Proved

(ii):  As we know, 1 + cot²θ = cosec²θ

 ⇒ (1 + cot²θ)sin²θ

 ⇒ (cosec²θ)(sin²θ)

 ⇒ (1/sin²θ)(sin²θ)             [cosecA = 1/sinA]

 ⇒ 1                       Proved