Question

Prove the following trigonometric identities. sin²Αcot²Α+cos²Αtan²Α=1

Answer 1

Answer with Step-by-step explanation:

Given : (sin²A × cot²A) + (cos²A × tan²A) = 1

L.H.S = (sin²A × cot²A) + (cos²A × tan²A)

= sin²A(cos²A/sin²A) + cos²A(sin²A/cos²A

[By using the identity, cotθ = cosθ/sinθ  ,  tanθ = sinθ/cosθ ]

= cos² A + sin²A

= 1

[By using the identity , sin² θ + cos² θ = 1]

(sin²A × cot²A) + (cos²A × tan²A) = 1

L.H.S = R.H.S  

Hence Proved..

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Answer 2

Step-by-step explanation:

see the attachment mate

hope u got it