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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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Given theta ,
`tan2A=cot(A-21^(@))`
`cot (90^(@)-2A)=cot(A-21^(@))`
`rArr90^(@)-2A=A-21^(@)rArr90^(@)+21^(@)=A+2A`
`rArr111^(@)=3ArArrA=(111^(@))/(3)=37^(@)`

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