Question

$(\csc 2A-2)(\cot 3A-1)=0$

Find $A$

Answer 1

$(cosec2A-2)(cot3A-1)=0$
$cosec2A-2=0$ or $cot3A=1$
$cosec2A=2$ or $cot3A=cot45$
$cosec2A=cosec30$ or $3A=45$
$2A=30$ or $A={15}^{\circ }$
$A={15}^{\circ }$