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If tan A`=cot (A-18^(@))` where 2A is an acute angle , find the value of A.

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`tan2A=cot(A-18^(@))`
`rArrcot(90^(@)-2A)=cot(A-18^(@))rArr90^(@)-2A=A-18^(@)`
`rArr108^(@)=3ArArrA=36^(@)`

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