Math, asked by sequeiralarson, 1 year ago

Please prove this trigonometric identity​

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Answers

Answered by sandy1816
2

Step-by-step explanation:

tan³A/1+tan²A+cot³A/1+cot²A

=tan³/sec²A+cot³A/cosec²A

=sin³A/cosA+cos³A/sinA

=sin⁴A+cos⁴A/sinAcosA

=(sin²A+cos²A)²-2sin²Acos²A/sinAcosA

=1-2sin²Acos²A/sinAcosA

=1/sinAcosA-2sin²Acos²A/sinAcosA

=secAcosecA-2sinAcosA

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