Question

cot²A-cos²A=cot²A cos²A​

Answer 1

Answer:

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Step-by-step explanation:

LHS

cos^2 A/sin^2 A - cos^2 A

cos^2 A (1 - sin^2 A)/ sin^2 A

cos^4 A/ sin^2 A

RHS

cos^4 A/ sin^2 A

LHS = RHS

Answer 2

cot²A - cos²A = cot²A cos²A​

LHS

cot²A-cos²A

= cos²A/sin²A - cos²A

=( cos²A - cos²A sin²A) / sin²A

= cos²A (1 - sin²A) / sin²A

= cos²A * cos²A/ sin²A

= cos²A cot²A

= cot²A cos²A

LHS = RHS

Hence, proved