Math, asked by Raisa777, 10 months ago

cot⁴+cot²= cosec⁴-cos²

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Answered by Anonymous

0

Answer:

Step-by-step explanation:

cot⁴A+cot²A = cosec⁴A-cosec²A

LHS=( cosec²A-1)² + cos²A/sin²A

=cosec⁴A - 2 cosec²A + 1 + cos²A/sin²A

=cosec⁴A- 2 / sin²A + 1 + cos²A/sin²A

=cosec⁴A - 1/ sin²A ( 2-sin²A-cos²A)

= cosec⁴A - 1/ sin²A* ( 2-1)

=cosec⁴A - 1/ sin²A

=cosec⁴A - cosec²A

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