What is 1+tan^2A/1+cot^2A=
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(1 +tan²A)/(1+cot²A)
∵ 1+tan²A = sec²A
and , 1+cot²A = cosec²A
∴(1 +tan²A)/(1+cot²A)
=sec²A/cosec²A
=sin²A/cos²A
=tan²A
∵ 1+tan²A = sec²A
and , 1+cot²A = cosec²A
∴(1 +tan²A)/(1+cot²A)
=sec²A/cosec²A
=sin²A/cos²A
=tan²A
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