Question

cot²A - cos²A= cot²A × cos²A​

Answer 1

L.H.S.

cot²A - cos²A

=> $\frac{cos²A}{sin²A} - cos²A$

=> $\frac{cos²A - cos²A.sin²A}{sin²A}$

=> $\frac{cos²A}{sin²A} × (1 - sin²A)$

=> cot²A × (1 - sin²A)

[We know that , sin² + cos²A = 1 , therefore 1-sin²A = cos²A ]

=> cot²A × cos²A

:. L.H.S. = R.H.S.

:. PROVED .

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