(sin⁴A-cos⁴A+1) cosec²A = 2 prove that
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(sin⁴A-cos⁴A+1)cosec²A
={(sin²A-cos²A)(sin²A+cos²A)+1}cosec²A
=(sin²A-cos²A+1)cosec²A
=(sin²A+sin²A)cosec²A
=2sin²Acosec²A
=2
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