If $s e c 6 A = c o s e c (A + 6)$ , where $6 A$ is an acute angle, find the value of $A$ ?

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Solution

$S e c 6 A = c o s e c (A + 6)$
$c o s e c (90 - 6 A) = c o s e c (A + 6)$
$90 - 6 A = A + 6$
$7 A = 84$
$A = 12$

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