Math, asked by shahbazsmd6490, 10 months ago

Tan^2A+cot^2A=sec^2A cosec^2A-2

Answers

Answered by sandy1816

1

Step-by-step explanation:

tan²A+cot²A

=sin²A/cos²A+cos²A/sin²A =sin⁴A+cos⁴A/sin²Acos²A =(sin²A+cos²A)²-2sin²Acos²A/ sin²Acos²A

=1-2sin²Acos²A/sin²Acos²A

=1/sin²Acos²A-2sin²Acos²A/sin²Acos²A

=sec²Acosec²A-2

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