Question

What is the value of (1-cos²θ)cosec²θ?

Answer 1

Answer:

The value of (1- Cos²A) Cosec² A is 1 .

Step-by-step explanation:

Given : (1 - Cos²θ) Cosec²θ

= Sin² θ x Cosec² θ

[By using the identity , 1- Cos² A = sin²A]

= (Sin θ Cosec θ)²

= [Sin θ x (1/Sin θ)]²

[By using the identity , Cosec A = 1/Sin A]

= (1)²

= 1

 Hence, the value of(1 - Cos²θ) Cosec²θ is 1 .

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Answer 2

Answer:

Refer to the attachment for your answer.