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If `tan 2A = cot (A-21^(@)) `where 2A is an acute angel , then find the value of A.

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`tan 2A=cot (A-21^@)`
` rArr cot (90^@-2A)=cot (A-21^@)[because tan 2 A =cot (90^@-2A)]`
`rArr 90^@-2A=A-21^@rArr 3A =111 6@rArr A =37^@`.
Hence `A=37^@`.

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