Find $A$ if $tan2A=cot( A-24^{o})$.

Given: $tan2A=cot( A-24^{o})$

To do: To find the value of A.

Solution:

$tan2A-cot( A-24^{o})$

$\Rightarrow tan 2A - tan[90^{o}-( A-24^{o})]$

$\Rightarrow tan 2A-tan( 90^{o}-A+24^{o})$

$\Rightarrow  tan 2A = tan( 114^{o}- A)$

 $\Rightarrow 2A =114^{o}-A$

$\Rightarrow 3A=114^{o}$

$\Rightarrow A=38^{o}$

 

Updated on: 10-Oct-2022

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