Question

Prove the following trigonometric identities. $(1-cos^{2}A)cosec^{2}A=1$

Answer 1

Answer with Step-by-step explanation:

Given : (1- Cos²A) Cosec² A = 1

L.H.S :   (1- Cos² A) Cosec² A  

= Sin² A Cosec² A

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

= (Sin A Cosec A)²

= [Sin A x (1/Sin A)]²

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

= (1)²

= 1

(1- Cos²A) Cosec² A = 1

L.H.S = R.H.S  

Hence Proved..

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Answer 2

Here's your answer...

#Refer the attachment

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