Question

sec^2 A . cosec^2 A - ( tan^2 + cot^2 A)​

Answer 1

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sec²Acosec²A-(tan²A+cot²A)

=1/cos²Asin²A-(sin⁴A+cos⁴A/sin²Acos²A)

=1-(sin⁴A+cos⁴A)/sin²Acos²A

=1-{(sin²A+cos²A)²-2sin²Acos²A}/sin²Acos²A

=1-1+2sin²Acos²A/sin²Acos²A

=2