If cosec A - sin A = a^3, sec A - cos A = b^, prove that a^2b^2(a^2+b^2) = 1

If cosec A - sin A = a^3, sec A - cos A = b^, prove that a^2b^2(a^2+b^

1.	If cosec A - sin A = a^3, sec A - cos A = b^, prove that a^2b^2(a^2+b^2) = 1
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